QCD thermodynamics with three flavors of improved staggered quarks
Open accessAbstract
We report on a study of QCD thermodynamics with three flavors of quarks, using a Symanzik improved gauge action and the Asqtad $O({a}^{2})$ improved staggered quark action. Simulations were carried out with lattice spacings $1/4T$, $1/6T$, and $1/8T$ both for three degenerate quarks with masses less than or equal to the strange quark mass ${m}_{s}$ and for degenerate up and down quarks with masses in the range $0.1{m}_{s}\ensuremath{\le}{m}_{u,d}\ensuremath{\le}0.6{m}_{s}$ and the strange quark mass fixed near its physical value. We present results for standard thermodynamics quantities, such as the Polyakov loop, the chiral order parameter and its susceptibility. For the quark masses studied to date we find a rapid crossover rather than a bona fide phase transition. We have carried out the first calculations of quark number susceptibilities with three flavors of sea quarks. These quantities are of physical interest because they are related to event-by-event fluctuations in heavy ion collision experiments. Comparison of susceptibilities at different lattice spacings show that our results are close to the continuum values.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the quenched approximation on the lattice, the latent heat was determined to be l ≈ 1.4 Tc^4, which is a factor of 5 smaller than expected from a quenched bag model.
“In the quenched approximation on the lattice, the latent heat was determined to be l ≈ 1 . 4 T 4 c [77, 78], which is a factor of 5 smaller than expected from a quenched bag model.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [78]
Sections III (p. 7) and IV (p. 9) describe simulations with three quark flavors, not a quenched lattice calculation. Searches for quenched latent heat, 1.4 Tc^4, and the bag-model comparison found no passage in our copy addressing the claimed value or factor of five. (LLM, conf=0.76)
Experimental — accuracy not yet measuredFor the surface tension rather small values are found from quenched lattice QCD, σ ≈ 0.015 Tc^3.
“For the surface tension rather small values are found from quenched lattice QCD, σ ≈ 0 . 015 T 3 c [78, 82].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [78]
The Abstract (p. 2) describes simulations with three flavors of quarks, and the Conclusion (p. 13) reports a transition temperature and quark-number susceptibilities. Searches for surface tension, the value 0.015 Tc³, and quenched-QCD interface tension found no passage in our copy addressing the claimed result. (LLM, conf=0.77)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Recent Developments in Gauge Theories
Hooft, G. ’., Itzykson, C., Jaffe, A. M., Lehmann, H., Mitter, P. K., Singer, I. M., & Stora, R. (1980) · Springer eBooks · doi:10.1007/978-1-4684-7571-5 · Cited by 1,256 · see citing works
Remarks on the chiral phase transition in chromodynamics
Pisarski, R. D., & Wilczek, F. (1984) · Physical Review D · doi:10.1103/physrevd.29.338 · Cited by 1,252 · see citing works
Recent Developments in Gauge Theories
Hooft, G. ’., Itzykson, C., Jaffe, A. M., Lehmann, H., Mitter, P. K., Singer, I. M., Stora, R., & Cahill, K. E. (1981) · Physics Today · doi:10.1063/1.2914581 · Cited by 526 · see citing works
Lattice QCD at High Temperature and Density
Karsch, F. (2007) · Springer eBooks · doi:10.1007/3-540-45792-5_6 · Cited by 517 · see citing works
Hybrid-molecular-dynamics algorithms for the numerical simulation of quantum chromodynamics
Gottlieb, S., Liu, W., Toussaint, D., Renken, R. L., & Sugar, R. L. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.35.2531 · Cited by 461 · see citing works
Self-citationOn the existence of a phase transition for QCD with three light quarks
Brown, F. R., Butler, F. P., Chen, H., Christ, N. H., Dong, Z., Schaffer, W., Unger, L. I., & Vaccarino, A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.2491 · Cited by 423 · see citing works
QCD spectrum with three quark flavors
Bérnard, C., Burch, T., Orginos, K., Toussaint, D., DeGrand, T., DeTar, C. E., Saumen Datta, A., Gottlieb, S., Heller, U. M., & Sugar, R. L. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.054506 · Cited by 406 · see citing works
Self-citationLattice results on QCD thermodynamics
Karsch, F. (2002) · Nuclear Physics A · doi:10.1016/s0375-9474(01)01365-3 · Cited by 384 · see citing works
High-Precision Lattice QCD Confronts Experiment
Davies, C. T. H., Follana, E., Gray, A., Lepage, G. P., Mason, Q., Nobes, M., Junko Shigemitsu, A., Trottier, H. D., Matthew Wingate, A., Aubin, C., et al. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.022001 · Cited by 361 · see citing works
Self-citationLight hadrons with improved staggered quarks: Approaching the continuum limit
Aubin, C., Bérnard, C., DeTar, C. E., Osborn, J. C., Gottlieb, S., Gregory, E. B., Toussaint, D., Heller, U. M., Hetrick, J. E., & Sugar, R. L. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.094505 · Cited by 319 · see citing works
Self-citationVariants of fattening and flavor symmetry restoration
Orginos, K., Toussaint, D., & Sugar, R. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.054503 · Cited by 296 · see citing works
Self-citationFlavor-symmetry restoration and Symanzik improvement for staggered quarks
Lepage, G. P. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.074502 · Cited by 241 · see citing works
Pressure of QCD at finite temperatures and chemical potentials
Vuorinen, A. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.054017 · Cited by 200 · see citing works
Testing improved actions for dynamical Kogut-Susskind quarks
Orginos, K., & Toussaint, D. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.014501 · Cited by 180 · see citing works
Self-citationQuark-number susceptibility of high-temperature QCD
Gottlieb, S., Liu, W., Toussaint, D., Renken, R. L., & Sugar, R. L. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2247 · Cited by 174 · see citing works
Self-citationQuark number susceptibilities from HTL-resummed thermodynamics
Blaizot, J.-P., Edmond Iancu, A., & Rebhan, A. K. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)01316-8 · Cited by 146 · see citing works
Where is the chiral critical point in 3-flavor QCD?
Karsch, F., Allton, C. R., Shinji Ejiri, A., Hands, S., Kaczmarek, O., Laermann, E., & Schmidt, C. (2004) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(03)02659-8 · Cited by 115 · see citing works
Study of QCD Thermodynamics at Finite Density by Taylor Expansion
Shinji Ejiri, A., Allton, C. R., Hands, S., Kaczmarek, O., Karsch, F., Laermann, E., & Schmidt, C. (2004) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.153.118 · Cited by 100 · see citing works
Scaling tests of the improved Kogut-Susskind quark action
Bérnard, C., Burch, T., DeGrand, T., DeTar, C. E., Gottlieb, S., Heller, U. M., Hetrick, J. E., Orginos, K., Sugar, B., & Toussaint, D. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.111502 · Cited by 94 · see citing works
Self-citationQuark number susceptibilities of hot QCD up to g6lng
Vuorinen, A. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.67.074032 · Cited by 90 · see citing works
QCD and the chiral critical point
Gavin, S., Gocksch, A., & Pisarski, R. D. (1994) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.49.r3079 · Cited by 85 · see citing works
Bs and Ds Decay Constants in Three-Flavor Lattice QCD
Matthew Wingate, A., Davies, C. T. H., Gray, A., Lepage, G. P., & Junko Shigemitsu, A. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.162001 · Cited by 84 · see citing works
Susceptibilities and screening masses in two flavor QCD
Gavai, R. V., Sourendu Gupta, A., & Majumdar, P. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.054506 · Cited by 79 · see citing works
Thermodynamics of four-flavour QCD with improved staggered fermions
Engels, J., Joswig, R., Karsch, F., Laermann, E., Lütgemeier, M., & Petersson, B. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00114-7 · Cited by 77 · see citing works
Quark number susceptibilities, strangeness, and dynamical confinement
Gavai, R. V., & Sourendu Gupta, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.074506 · Cited by 65 · see citing works
Quark number susceptibility in hard thermal loop approximation
Chakraborty, P., Mustafa, M. G., & Thoma, M. H. (2002) · The European Physical Journal C · doi:10.1007/s100520200899 · Cited by 62 · see citing works
Iwasaki, Y., Kanaya, K., Kaya, S., Sakai, S., & Yoshié, T. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.7010 · Cited by 62 · see citing works
Continuum limit of quark number susceptibilities
Gavai, R. V., & Sourendu Gupta, A. (2002) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.65.094515 · Cited by 59 · see citing works
Quark-number susceptibility, thermodynamic sum rule, and the hard thermal loop approximation
Chakraborty, P., Mustafa, M. G., & Thoma, M. H. (2003) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.68.085012 · Cited by 47 · see citing works
Phase structure of lattice QCD at finite temperature for 2+1 flavors of Kogut-Susskind quarks
Aoki, S., Fukugita, M., Hashimoto, S., Ishikawa, K.-I., Ishizuka, N., Iwasaki, Y., Kanaya, K., Kaneda, T., Kaya, S., Kuramashi, Y., et al. (1999) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(99)85104-4 · Cited by 39 · see citing works
Tests of improved Kogut-Susskind fermion actions
Orginos, K., & Toussaint, D. (1999) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(99)85241-4 · Cited by 38 · see citing works
Self-citationComparing different hard-thermal-loop approaches to quark number susceptibilities
Blaizot, J.-P., Iancu, E., & Rebhan, A. (2003) · The European Physical Journal C · doi:10.1140/epjc/s2002-01103-5 · Cited by 37 · see citing works
Lattice Monte Carlo data versus perturbation theory
Allton, C. R. (1997) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(96)00804-3 · Cited by 32 · see citing works
The three flavour chiral phase transition with an improved quark and gluon action in lattice QCD
Peikert, A., Karsch, F., Laermann, E., & Sturm, B. (1999) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(99)85107-x · Cited by 25 · see citing works
Event-by-event fluctuations and the QGP
Koch, V., Bleicher, M., & Jeon, S. (2002) · Nuclear Physics A · doi:10.1016/s0375-9474(02)00716-9 · Cited by 18 · see citing works
High temperature QCD with three flavors of improved staggered quarks
Bérnard, C., Burch, T., DeTar, C. E., Gottlieb, S., Gregory, E. B., Heller, U. M., Osborn, J. C., Sugar, R. L., & Toussaint, D. (2003) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(03)01603-7 · Cited by 16 · see citing works
Self-citationStatistical fluctuations as probes of dense matter
Müller, B. (2002) · Nuclear Physics A · doi:10.1016/s0375-9474(02)00715-7 · Cited by 12 · see citing works
Results on improved KS dynamical configurations: spectrum, decay constants, etc.
Gottlieb, S. (2004) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(03)02503-9 · Cited by 12 · see citing works
Self-citationThe phase diagram of high temperature QCD with three flavors of improved staggered quarks
Bérnard, C., Burch, T., DeTar, C. E., Gottlieb, S., Gregory, E. B., Heller, U. M., Hetrick, J. E., Sugar, R. L., & Toussaint, D. (2004) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(03)02663-x · Cited by 8 · see citing works
Self-citationResults on improved KS dynamical configurations: decay constants, spectrum and topology
Gottlieb, S. (2004) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(03)02461-7 · Cited by 6 · see citing works
Self-citationThermodynamics with 2+1 and 3 flavors of improved staggered quarks
Bérnard, C., Burch, T., Saumen Datta, A., DeGrand, T., DeTar, C. E., Gottlieb, S., Heller, U. M., Orginos, K., Sugar, R. L., & Toussaint, D. (2002) · Nuclear Physics A · doi:10.1016/s0375-9474(02)00697-8 · Cited by 6 · see citing works
Self-citationQuark number susceptibilities from lattice QCD
Gavai, R. V. (2002) · Nuclear Physics A · doi:10.1016/s0375-9474(02)00717-0 · Cited by 5 · see citing works
Thermodynamics with 3 and 2+1 flavors of improved staggered quarks
Bernard, C., Burch, T., Datta, S., DeGrand, T., DeTar, C. E., Gottlieb, S., Heller, U. M., Orginos, K., Sugar, R. L., & Toussaint, D. (2002) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(01)01736-4 · Cited by 4 · see citing works
Self-citationLattice results with three quark flavours
Gottlieb, S. (2003) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/30/1/050 · Cited by 1 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 4
- [7]K. Orginos and D. Toussaint, Phys. Rev. D59 , 014501 (1999) and Nuc. Phys. B (Proc. Suppl.) 99 , 909 (199); G.P. Lepage, Phys. Rev. D 59 , 074501 (1999); K. Orginos, D. Toussaint and R.L. Sugar, Phys. Rev. D 60 , 054503 (1999).
- [15]C. Allton, Nucl. Phys. B (Proc. Suppl.) 53 , 867 (1997); arXiv:hep-lat/9610016 (unpublished). · arXiv
- [19]J.P. Blaizot, E. Iancu and A. Rebhan, Phys. Lett. B523 , 143 (2001), and Eur. Phys. J. C27 , 433 (2003); A. Rebhan, arXiv:hep-ph/0301130. · arXiv
- [23]F. Karsch et al. , Nucl. Phys. B (Proc. Suppl.), 129 & 130 , 614 (2004).
Cited by
Sorted by citations
The PHOBOS perspective on discoveries at RHIC
Back, B. B., Baker, M. D., Ballintijn, M., Barton, D. S., Becker, B., Betts, R. R., Bickley, A. A., Bindel, R., Budzanowski, A., Busza, W., et al. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2005.03.084 · Cited by 2,242 · see citing works
Equation of state in ( 2 + 1 )-flavor QCD
Bazavov, A., Tanmoy Bhattacharya, A., DeTar, C. E., Ding, H.-T., Gottlieb, S., Gupta, R., Hegde, P., Heller, U. M., Karsch, F., Laermann, E., et al. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.094503 · Cited by 1,207 · see citing works
Self-citationChiral and deconfinement aspects of the QCD transition
Bazavov, A., Tanmoy Bhattacharya, A., Cheng, M., DeTar, C. E., Ding, H.-T., Gottlieb, S., Gupta, R., Hegde, P., Heller, U. M., Karsch, F., et al. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.054503 · Cited by 1,131 · see citing works
Self-citationThe phase diagram of dense QCD
Fukushima, K., & Hatsuda, T. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/1/014001 · Cited by 963 · see citing works
“(1) 169(12)(4)MeV for 2 + 1 flavours in the asqtad action with Nt up to 8 determined by χm/T 2 (where χm is the chiral susceptibility) [99].”
BackgroundThe QCD transition temperature: Results with physical masses in the continuum limit
Aoki, Y., Fodor, Z., Katz, S. D., & Szabó, K. K. (2006) · Physics Letters B · doi:10.1016/j.physletb.2006.10.021 · Cited by 841 · see citing works
“The MILC collaboration also reported a continuum result on the transition temperature based on the chiral susceptibility [ 7 ].”
QCD equation of state with almost physical quark masses
Cheng, M., Christ, N. H., Saumen Datta, A., van der Heide, J., Jung, C., Karsch, F., Kaczmarek, O., Laermann, E., Mawhinney, R. D., Miao, C., et al. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.014511 · Cited by 583 · see citing works
Equation of state and QCD transition at finite temperature
Bazavov, A., Tanmoy Bhattacharya, A., Cheng, M., Christ, N. H., DeTar, C. E., Shinji Ejiri, A., Gottlieb, S., Gupta, R., Heller, U. M., Huebner, K., et al. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.014504 · Cited by 572 · see citing works
Self-citationQCD equation of state and hadron resonance gas
Huovinen, P., & Petreczky, P. (2010) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2010.02.015 · Cited by 565 · see citing works
ALICE: Physics Performance Report, Volume II
Alessandro, B., Antinori, F., Belikov, J. A., Blume, C., Dainese, A., Foka, P., Giubellino, P., Hippolyte, B., Kuhn, C. C., García, G. M., et al. (2006) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/32/10/001 · Cited by 550 · see citing works
Thermodynamics of two flavor QCD to sixth order in quark chemical potential
Allton, C. R., Döring, M., Shinji Ejiri, A., Hands, S., Kaczmarek, O., Karsch, F., Laermann, E., & Redlich, K. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.054508 · Cited by 489 · see citing works
Real-time static potential in hot QCD
Laine, M., Philipsen, O., Tassler, M., & Romatschke, P. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/03/054 · Cited by 487 · see citing works
QCD Phase Transition with Chiral Quarks and Physical Quark Masses
Tanmoy Bhattacharya, A., Buchoff, M. I., Christ, N. H., Ding, H.-T., Gupta, R., Jung, C., Karsch, F., Lin, Z., Mawhinney, R. D., McGlynn, G., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.082001 · Cited by 420 · see citing works
Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks
Bazavov, A., Toussaint, D., Bérnard, C., Laiho, J. W., DeTar, C. E., Levkova, L., Oktay, M. B., Gottlieb, S., Heller, U. M., Hetrick, J. E., et al. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1349 · Cited by 420 · see citing works
Self-citationCheng, M., Christ, N. H., Saumen Datta, A., van der Heide, J., Jung, C., Karsch, F., Kaczmarek, O., Laermann, E., Mawhinney, R. D., Miao, C., et al. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.054507 · Cited by 359 · see citing works
Bazavov, A., Tanmoy Bhattacharya, A., DeTar, C. E., Ding, H.-T., Gottlieb, S., Gupta, R., Hegde, P., Heller, U. M., Karsch, F., Laermann, E., et al. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.034509 · Cited by 348 · see citing works
Self-citationThe equation of state in lattice QCD: with physical quark masses towards the continuum limit
Aoki, Y., Fodor, Z., Katz, S. D., & Szabó, K. K. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/01/089 · Cited by 294 · see citing works
CMS Physics Technical Design Report: Addendum on High Density QCD with Heavy Ions
d’Enterria, D., Ballintijn, M., Bedjidian, M., Hofman, D. J., Kodolova, O., Loizides, C., Lokthin, I. P., Lourenço, C., Mironov, C. M., Petrushanko, S. V., et al. (2007) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/34/11/008 · Cited by 303 · see citing works
Space-time evolution of bulk QCD matter
Nonaka, C., & Bass, S. A. (2007) · Physical Review C · doi:10.1103/physrevc.75.014902 · Cited by 291 · see citing works
Mateos, D., Myers, R. C., & Thomson, R. M. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/05/067 · Cited by 283 · see citing works
Baryon number, strangeness, and electric charge fluctuations in QCD at high temperature
Cheng, M., Hegde, P., Jung, C., Karsch, F., Kaczmarek, O., Laermann, E., Mawhinney, R. D., Miao, C., Petreczky, P., Schmidt, C., et al. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.074505 · Cited by 264 · see citing works
Particle models and the small-scale structure of dark matter
Bringmann, T. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/10/105027 · Cited by 249 · see citing works
Fluctuations and correlations in high temperature QCD
Bellwied, R., Borsányi, S., Fodor, Z., Katz, S. D., Pásztor, A., Ratti, C., & Szabó, K. K. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.114505 · Cited by 247 · see citing works
On the critical end point of QCD
Gavai, R. V., & Sourendu Gupta, A. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.114014 · Cited by 243 · see citing works
θ dependence of SU(N) gauge theories in the presence of a topological term
Vicari, E., & Panagopoulos, H. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.10.001 · Cited by 230 · see citing works
Three-loop HTLpt thermodynamics at finite temperature and chemical potential
Haque, N., Bandyopadhyay, A., Andersen, J. O., Mustafa, M. G., Strickland, M. T., & Su, N. (2014) · Journal of High Energy Physics · doi:10.1007/jhep05(2014)027 · Cited by 220 · see citing works
The QCD equation of state from the lattice
Philipsen, O. (2012) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2012.09.003 · Cited by 205 · see citing works
Results from the Relativistic Heavy Ion Collider
Müller, B., & Nagle, J. L. (2006) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140556 · Cited by 205 · see citing works
“C. Bernard et al. 2005.”
Charmonium at high temperature in two-flavor QCD
Gert Aarts, A., Allton, C. R., Oktay, M. B., Peardon, M., & Skullerud, J.-I. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.094513 · Cited by 179 · see citing works
2+1 flavor Polyakov–Nambu–Jona-Lasinio model at finite temperature and nonzero chemical potential
Fu, W., Zhang, Z., & Liu, Y. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.014006 · Cited by 177 · see citing works
Lattice QCD at non-zero temperature
Petreczky, P. (2012) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/39/9/093002 · Cited by 171 · see citing works
Production and evolution of perturbations of sterile neutrino dark matter
Abazajian, K. N. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.063506 · Cited by 162 · see citing works
Phase Transitions in the Early and Present Universe
Boyanovsky, D., de Vega, H. J., & Schwarz, D. J. (2006) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140539 · Cited by 146 · see citing works
Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
Andrea Pelissetto, C., & Vicari, E. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.105018 · Cited by 138 · see citing works
Results from the Relativistic Heavy Ion Collider
Müller, B., & Nagle, J. L. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 131 · see citing works
On the hadronic contribution to sterile neutrino production
Asaka, T., Laine, M., & Shaposhnikov, M. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/06/053 · Cited by 119 · see citing works
Nakazato, K., Sumiyoshi, K., & Yamada, S. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.103006 · Cited by 111 · see citing works
QCD thermodynamics from the lattice
DeTar, C. E., & Heller, U. M. (2009) · The European Physical Journal A · doi:10.1140/epja/i2009-10825-3 · Cited by 110 · see citing works
“Fig. 7. Chiral condensate vs. temperature in MeV units (r0 scale) for Nτ = 8 from [ 52 ] using the asqtad fermion formulation.”
BackgroundMethodSelf-citationDiagonal and off-diagonal quark number susceptibilities at high temperatures
Ding, H.-T., Mukherjee, S., Ohno, H., Petreczky, P., & Schadler, H.-P. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.074043 · Cited by 108 · see citing works
Wu, L.-K., Luo, X.-Q., & Chen, H.-S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.034505 · Cited by 104 · see citing works
Microscopic origin of UA(1) symmetry violation in the high temperature phase of QCD
Dick, V., Karsch, F., Laermann, E., Mukherjee, S., & Sharma, S. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.094504 · Cited by 106 · see citing works
Phase diagram in an external magnetic field beyond a mean-field approximation
Skokov, V. V. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.034026 · Cited by 101 · see citing works
Hadron production and phase changes in relativistic heavy-ion collisions
Jean Letessier, B., & Johann Rafelski, A. (2008) · The European Physical Journal A · doi:10.1140/epja/i2007-10546-7 · Cited by 98 · see citing works
Fluctuations, strangeness, and quasiquarks in heavy-ion collisions from lattice QCD
Gavai, R. V., & Sourendu Gupta, A. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.014004 · Cited by 96 · see citing works
Haque, N., Andersen, J. O., Mustafa, M. G., Strickland, M. T., & Su, N. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.061701 · Cited by 95 · see citing works
Karsch, F. (2006) · Journal of Physics Conference Series · doi:10.1088/1742-6596/46/1/017 · Cited by 91 · see citing works
Moreau, P., Soloveva, O., Oliva, L., Song, T., Cassing, W., & Bratkovskaya, E. L. (2019) · Physical Review C · doi:10.1103/physrevc.100.014911 · Cited by 88 · see citing works
Quark matter nucleation in neutron stars and astrophysical implications
Bombaci, I., Logoteta, D., Vidaña, I., & Providência, C. (2016) · The European Physical Journal A · doi:10.1140/epja/i2016-16058-5 · Cited by 88 · see citing works
On the hadronic contribution to sterile neutrino productionPreprint
Asaka, T., Laine, M., & Shaposhnikov, M. (2006) · Cited by 83 · see citing works
Shinji Ejiri, A., Maezawa, Y., Ukita, N., Sinya Aoki, A., Hatsuda, T., Ishii, N., Kanaya, K., & Umeda, T. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.014508 · Cited by 80 · see citing works
Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
Bellwied, R., Borsányi, S., Fodor, Z., Guenther, J. N., Noronha-Hostler, J., Parotto, P., Pásztor, A., Ratti, C., & Karthein, J. M. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.101.034506 · Cited by 79 · see citing works
Quark number susceptibilities at high temperatures
Bazavov, A., Ding, H.-T., Hegde, P., Karsch, F., Miao, C., Mukherjee, S., Petreczky, P., Schmidt, C., & Velytsky, A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.094021 · Cited by 78 · see citing works
Model study of the sign problem in the mean-field approximation
Fukushima, K., & Hidaka, Y. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.036002 · Cited by 78 · see citing works
QCD phase transitions via a refined truncation of Dyson-Schwinger equations
Gao, F., & Liu, Y. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.076009 · Cited by 78 · see citing works
Chiral phase structure of three flavor QCD at vanishing baryon number density
Bazavov, A., Ding, H.-T., Hegde, P., Karsch, F., Laermann, E., Mukherjee, S., Petreczky, P., & Schmidt, C. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.074505 · Cited by 77 · see citing works
Nonlocal SU(3) chiral quark models at finite temperature: The role of the Polyakov loop
Contrera, G. A., Dumm, D. G., & Scoccola, N. N. (2008) · Physics Letters B · doi:10.1016/j.physletb.2008.01.069 · Cited by 75 · see citing works
Deconfinement and chiral transition with the highly improved staggered quark (HISQ) action
Bazavov, A., & Petreczky, P. (2010) · Journal of Physics Conference Series · doi:10.1088/1742-6596/230/1/012014 · Cited by 73 · see citing works
van den Aarssen, L. G., Bringmann, T., & Goedecke, Y. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.123512 · Cited by 72 · see citing works
Volume and quark mass dependence of the chiral phase transition
Braun, J., Klein, B., Pirner, H. J., & Rezaeian, A. H. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.074010 · Cited by 69 · see citing works
Elliptic Flow Splitting as a Probe of the QCD Phase Structure at Finite Baryon Chemical Potential
Xu, J., Song, T., Ko, C. M., & Li, F. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.012301 · Cited by 68 · see citing works
Parkkila, J. E., Önnerstad, A., Taghavi, S. F., Mordasini, C., Bilandzic, A., Virta, M. M. O., & Kim, D. J. (2022) · Physics Letters B · doi:10.1016/j.physletb.2022.137485 · Cited by 68 · see citing works
Xin, X.-Y., Qin, S.-X., & Liu, Y.-X. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.076006 · Cited by 66 · see citing works
Karsch, F. (2006) · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · Cited by 65 · see citing works
Chiral Lagrangian at finite temperature from the Polyakov-chiral quark model
Megías, E., Arriola, E. R., & Salcedo, L. L. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.114014 · Cited by 64 · see citing works
Simple patterns for nonlinear susceptibilities near Tc
Gavai, R. V., & Sourendu Gupta, A. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.054006 · Cited by 64 · see citing works
Fluctuations and correlations of conserved charges in an excluded-volume hadron resonance gas model
Bhattacharyya, A., Das, S., Ghosh, S. K., Ray, R., & Samanta, S. (2014) · Physical Review C · doi:10.1103/physrevc.90.034909 · Cited by 62 · see citing works
Contrera, G. A., Dumm, D. G., & Scoccola, N. N. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.054005 · Cited by 60 · see citing works
Andersen, J. O., Haque, N., Mustafa, M. G., & Strickland, M. T. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.054045 · Cited by 60 · see citing works
Fast spinning strange stars: possible ways to constrain interacting quark matter parameters
Bhattacharyya, S., Bombaci, I., Logoteta, D., & Thampan, A. V. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw206 · Cited by 57 · see citing works
“The transition to this quark gluon plasma phase is a crossover (Bernard et al. 2005; Cheng et al. 2006; Aoki et al. 2006) rather than a real phase transition.”
BackgroundFinite temperature QCD using 2+1 flavors of domain wall fermions at Nt=8
Cheng, M., Christ, N. H., Li, M., Mawhinney, R. D., Renfrew, D., Hegde, P., Karsch, F., Lin, M., & Vranas, P. M. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.054510 · Cited by 54 · see citing works
Interface effect in QCD phase transitions via Dyson-Schwinger equation approach
Gao, F., & Liu, Y. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.094030 · Cited by 51 · see citing works
Hybrid stars using the quark-meson coupling and proper-time Nambu–Jona-Lasinio models
Whittenbury, D. L., Matevosyan, H. H., & Thomas, A. W. (2016) · Physical Review C · doi:10.1103/physrevc.93.035807 · Cited by 50 · see citing works
Quark number susceptibilities from two-loop hard thermal loop perturbation theory
Haque, N., Mustafa, M. G., & Strickland, M. T. (2013) · Journal of High Energy Physics · doi:10.1007/jhep07(2013)184 · Cited by 47 · see citing works
“The LO result for χ2 shows reasonable agreement with available LQCD data [16, 20, 24]; however, at this point in time there is still a fairly sizable variation of this quantity between the different lattice groups.”
MethodEigenvalue spectra of QCD and the fate of UA(1) breaking towards the chiral limit
Kaczmarek, O., Mazur, L., & Sharma, S. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.094518 · Cited by 47 · see citing works
Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
Cui, Z.-F., Feng-Yao, H., Shi, Y.-M., Wang, Y.-L., & Zong, H.-S. (2015) · Annals of Physics · doi:10.1016/j.aop.2015.03.025 · Cited by 45 · see citing works
Modeling finite-volume effects and chiral symmetry breaking in two-flavor QCD thermodynamics
Klein, B. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.09.002 · Cited by 45 · see citing works
Susceptibilities with multiquark interactions in the Polyakov–Nambu–Jona-Lasinio model
Bhattacharyya, A., Deb, P., Lahiri, A., & Ray, R. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.114028 · Cited by 45 · see citing works
Open charm and dileptons from relativistic heavy-ion collisions
Song, T., Cassing, W., Moreau, P., & Bratkovskaya, E. L. (2018) · Physical Review C · doi:10.1103/physrevc.97.064907 · Cited by 43 · see citing works
Quark deconfinement transition in neutron stars with the field correlator method
Logoteta, D., & Bombaci, I. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.063001 · Cited by 42 · see citing works
Lattice QCD at finite temperature: present status
Petreczky, P. (2009) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2009.10.086 · Cited by 42 · see citing works
Eser, J., Grahl, M., & Rischke, D. H. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.096008 · Cited by 41 · see citing works
“In the QCD vacuum, the remaining SU(Nf )V × SU(Nf )A symmetry, termed “chiral symmetry” in the following, is further spontaneously broken to SU(Nf )V by a non-vanishing quark condensate 〈q̄q〉, inducing N2f − 1 Goldstone bosons [2, 3, 4].”
InfluentialDeconfinement phase transition in holographic QCD with matter
Kim, Y., Lee, B.-H., Nam, S., Chanyong Park, B., & Sang-jin Sin, A. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.086003 · Cited by 41 · see citing works
Abuki, H., Ciminale, M., Gatto, R., Nardulli, G., & Ruggieri, M. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.77.074018 · Cited by 41 · see citing works
Bhattacharyya, A., Deb, P., Lahiri, A., & Ray, R. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.014011 · Cited by 40 · see citing works
Partonic mean-field effects on matter and antimatter elliptic flows
Ko, C. M., Song, T., Li, F., Greco, V., & Plumari, S. (2014) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2014.05.016 · Cited by 39 · see citing works
Diagnosing performance bottlenecks in emerging petascale applications
Tallent, N. R., Mellor‐Crummey, J., Adhianto, L., Fagan, M. W., & Krentel, M. W. (2009) · International Conference for High Performance Computing, Networking, Storage and Analysis (SC) · doi:10.1145/1654059.1654111 · Cited by 39 · see citing works
“The third application we analyze is a lattice quantum chronodynamics (QCD) simultation with dynamical KogutSusskind fermions from MILC, or MIMD Lattice Computation package [4].”
MethodThe effective QCD phase diagram and the critical end point
Ayala, A., Bashir, A., Cobos-Martínez, J. J., Hernández-Ortíz, S., & Raya, A. (2015) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2015.05.014 · Cited by 39 · see citing works
Gravitational traces of broken gauge symmetries
Azatov, A., Barducci, D., & Sgarlata, F. (2020) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2020/07/027 · Cited by 38 · see citing works
Dilepton rate and quark number susceptibility with the Gribov action
Bandyopadhyay, A., Haque, N., Mustafa, M. G., & Strickland, M. T. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.065004 · Cited by 36 · see citing works
The spatial string tension and dimensional reduction in QCD
Cheng, M., Saumen Datta, A., van der Heide, J., Huebner, K., Karsch, F., Kaczmarek, O., Laermann, E., Liddle, J., Mawhinney, R. D., Miao, C., et al. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.034506 · Cited by 35 · see citing works
Quark–antiquark condensates in the hadronic phase
Tawfik, A. N., & Toublan, D. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.07.025 · Cited by 35 · see citing works
Petreczky, P. (2005) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/j.nuclphysbps.2004.11.366 · Cited by 35 · see citing works
Open bottom mesons in a hot asymmetric hadronic medium
Pathak, D., & Mishra, A. (2015) · Physical Review C · doi:10.1103/physrevc.91.045206 · Cited by 33 · see citing works
An estimate of the chiral condensate from unquenched lattice QCD
Craig Mcneile, A. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.05.078 · Cited by 33 · see citing works
Nicola, Á. G., Peláez, J. R., & de Elvira, J. R. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.016001 · Cited by 32 · see citing works
Thermodynamics and susceptibilities of isospin imbalanced QCD matter
Lu, Z.-Y., Xia, C.-J., & Ruggieri, M. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-020-7614-6 · Cited by 32 · see citing works
Shinji Ejiri, A., Itagaki, S., Iwami, R., Kanaya, K., Kitazawa, M., Kiyohara, A., Shirogane, M., & Umeda, T. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.101.054505 · Cited by 32 · see citing works
Inverse magnetic catalysis and confinement within a contact interaction model for quarks
Ahmad, A., & Raya, A. (2016) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/43/6/065002 · Cited by 31 · see citing works
Equation of state and more from lattice regularized QCD
Karsch, F. (2008) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/35/10/104096 · Cited by 31 · see citing works
Equation of state and more from lattice regularized QCD
Karsch, F. (2008) · PUB – Publications at Bielefeld University (Bielefeld University) · Cited by 30 · see citing works
QCD chiral transition temperature in a Dyson-Schwinger-equation context
Blank, M., & Krassnigg, A. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.034006 · Cited by 30 · see citing works
- Authors
- Bernard, C., Burch, T., DeTar, C., Osborn, J., Gottlieb, S., Gregory, E. B., Toussaint, D., Heller, U. M., & Sugar, R.
- Affiliations
- Washington University in St. Louis (US)
- University of Arizona (US)
- American Physical Society (US)
- University of California, Santa Barbara (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2005-02-14
- Volume
- 71
- Issue
- 3
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2140940126
- Cited by
- 236
- References
- 44
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 5 · 2023: 2 · 2022: 5 · 2021: 15 · 2020: 7 · 2019: 5 · 2018: 4 · 2017: 3 · 2016: 18 · 2015: 18 · 2014: 12 · 2013: 10 · 2012: 12
- FWCI
- 15.31
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Florida State University
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- QCD thermodynamics, three-flavor QCD, improved staggered fermions, Symanzik improved gauge action, quark number susceptibilities, chiral order parameter, Polyakov loop, chiral crossover, heavy-ion collisions, event-by-event fluctuations, strange quark mass, lattice QCD
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review