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Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma: Entropy and density
Open accessAbstract
We propose a gauge-invariant and manifestly UV finite resummation of the physics of hard thermal or dense loops (HTL-HDL) in the thermodynamics of the quark-gluon plasma. The starting point is a simple, effectively one-loop expression for the entropy or the quark density which is derived from the fully self-consistent two-loop skeleton approximation to the free energy, but subject to further approximations, whose quality is tested in a scalar toy model. In contrast with the direct HTL-HDL resummation of the one-loop free energy, in our approach both the leading-order (LO) and the next-to-leading order (NLO) effects of interactions are correctly reproduced and arise from kinematical regimes where the HTL-HDL are justifiable approximations. The LO effects are entirely due to the (asymptotic) thermal masses of the hard particles. The NLO ones receive contributions both from soft excitations, as described by the HTL-HDL propagators, and from corrections to the dispersion relation of the hard excitations, as given by HTL-HDL perturbation theory. The numerical evaluations of our final expressions show very good agreement with lattice data for zero-density QCD, for temperatures above twice the transition temperature.
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Citations
Cites
Symmetry behavior at finite temperature
Dolan, L., & Jackiw, R. (1974) · Physical Review D · doi:10.1103/physrevd.9.3320 · Cited by 2,123
Finite-Temperature Field Theory: Principles and Applications
Kapusta, J. I., & Gale, C. (2006) · Cambridge University Press eBooks · doi:10.1017/cbo9780511535130 · Cited by 1,935
Ground-State Energy of a Many-Fermion System. II
Luttinger, J. M., & Ward, J. C. (1960) · Physical Review · doi:10.1103/physrev.118.1417 · Cited by 1,712
Self-Consistent Approximations in Many-Body Systems
Baym, G. (1962) · Physical Review · doi:10.1103/physrev.127.1391 · Cited by 1,364
Soft amplitudes in hot gauge theories: A general analysis
Braaten, E., & Pisarski, R. D. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90508-b · Cited by 1,277
(1994) · doi:10.1142/2364 · Cited by 1,097
Thermodynamics of SU(3) lattice gauge theory
Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Lütgemeier, M., & Petersson, B. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00170-8 · Cited by 1,012
Le Bellac, M. (1996) · doi:10.1017/cbo9780511721700 · Cited by 897 · cited 2×
“-invariant result which is nonperturbative in the coupling g, while being equivalent to conventional resummed perturbation theory up to and including order g3. As generally with thermal field theories [8,2], the perturbative solution of Eqs. (3.12) requires to distinguish between soft (k<∼gT) and hard (k∼ T) fields,…”
BackgroundInfluentialCovariant calculations at finite temperature: The relativistic plasma
Weldon, H. A. (1982) · Physical Review D · doi:10.1103/physrevd.26.1394 · Cited by 744
Effective potential and first-order phase transitions: Beyond leading order
Arnold, P., & Espinosa, O. (1993) · Physical Review D · doi:10.1103/physrevd.47.3546 · Cited by 588
High-temperature limit of thermal QCD
Frenkel, J., & Taylor, J. C. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90661-v · Cited by 493
Effective fermion masses of ordergTin high-temperature gauge theories with exact chiral invariance
Weldon, H. A. (1982) · Physical Review D · doi:10.1103/physrevd.26.2789 · Cited by 481
De Dominicis, C., & Martin, P. C. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704062 · Cited by 404
Free energy of QCD at high temperature
Braaten, E., & Nieto, A. (1996) · Physical Review D · doi:10.1103/physrevd.53.3421 · Cited by 390
Freedman, B. A., & McLerran, L. D. (1977) · Physical Review D · doi:10.1103/physrevd.16.1169 · Cited by 369
The pressure in 2, 2+1 and 3 flavour QCD
Karsch, F., Laermann, E., & Peikert, A. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00292-6 · Cited by 368
Massive quasiparticle model of the SU(3) gluon plasma
Peshier, A., Kämpfer, B., Pavlenko, O. P., & Soff, G. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.54.2399 · Cited by 271
Massive gluons and quarks and the equation of state obtained from SU(3) lattice QCD
Lévai, P., & Heinz, U. (1998) · Physical Review C · doi:10.1103/physrevc.57.1879 · Cited by 270
Three-loop free energy for pure gauge QCD
Arnold, P., & Zhai, C. (1994) · Physical Review D · doi:10.1103/physrevd.50.7603 · Cited by 267
Three-loop free energy for high-temperature QED and QCD with fermions
Arnold, P., & Zhai, C. (1995) · Physical Review D · doi:10.1103/physrevd.51.1906 · Cited by 262
De Dominicis, C., & Martin, P. C. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704064 · Cited by 255
Free energy of hot gauge theories with fermions throughg5
Zhai, C., & Kastening, B. (1995) · Physical Review D · doi:10.1103/physrevd.52.7232 · Cited by 244
Karsch, F., Patkós, A., & Petreczky, P. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00392-4 · Cited by 233
Fermions and gauge vector mesons at finite temperature and density. I. Formal techniques
Freedman, B. A., & McLerran, L. D. (1977) · Physical Review D · doi:10.1103/physrevd.16.1130 · Cited by 231
Hard-Thermal-Loop Resummation of the Free Energy of a Hot Gluon Plasma
Andersen, J. O., Braaten, E., & Strickland, M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2139 · Cited by 222
Blaizot, J.-P., Iancu, E., & Rebhan, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2906 · Cited by 214
Self-citationNon-Abelian gauge theories of Fermi systems: Quantum-chromodynamic theory of highly condensed matter
Baluni, V. (1978) · Physical Review D · doi:10.1103/physrevd.17.2092 · Cited by 189
Soft collective excitations in hot gauge theories
Blaizot, J.-P., & Iancu, E. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90486-3 · Cited by 182
Self-citationNon-Abelian Debye mass at next-to-leading order
Rebhan, A. K. (1993) · Physical Review D · doi:10.1103/physrevd.48.r3967 · Cited by 178
Self-citationHeavy quark potentials in quenched QCD at high temperature
Kaczmarek, O., Karsch, F., Laermann, E., & Lütgemeier, M. (2000) · Physical Review D · doi:10.1103/physrevd.62.034021 · Cited by 171
Optimized perturbation theory at finite temperature
Chiku, S., & Hatsuda, T. (1998) · Physical Review D · doi:10.1103/physrevd.58.076001 · Cited by 167
Kinetic equations for long-wavelength excitations of the quark-gluon plasma
Blaizot, J.-P., & Edmond Iancu, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.3376 · Cited by 161
Self-citationFreedman, B. A., & McLerran, L. (1977) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.16.1147 · Cited by 153
Damping rates for moving particles in hot QCD
Pisarski, R. D. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.47.5589 · Cited by 141
Equation of state for pure SU(3) gauge theory with renormalization group improved action
Okamoto, M., Khan, A. A., Aoki, S., Burkhalter, R., Shinji Ejiri, A., Fukugita, M., Hashimoto, S., Ishizuka, N., Iwasaki, Y., Kanaya, K., et al. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.094510 · Cited by 134
Dynamical holes in the quark-gluon plasma
Weldon, H. A. (1989) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.40.2410 · Cited by 132
Self-consistent hard-thermal-loop thermodynamics for the quark-gluon plasma
Blaizot, J.-P., Iancu, E., & Rebhan, A. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)01306-4 · Cited by 126
Self-citationPerturbative QED and QCD at finite temperatures and densities
Toimela, T. (1985) · International Journal of Theoretical Physics · doi:10.1007/bf00671334 · Cited by 114
Hard-thermal-loop resummation of the thermodynamics of a hot gluon plasma
Andersen, J. O., Braaten, E., & Strickland, M. T. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.014017 · Cited by 113
Foam diagram summation at finite temperature
Drummond, I. T., Horgan, R. R., Landshoff, P. V., & Rebhan, A. K. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00210-7 · Cited by 75
Self-citationImproved hard-thermal-loop effective action for hot QED and QCD
Flechsig, F., & Rebhan, A. K. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(96)00023-5 · Cited by 59
Self-citationThe non-perturbative QCD Debye mass from a Wilson line operator
Laine, M., & Philipsen, O. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00641-3 · Cited by 54
Hard-Thermal-Loop Resummed Pressure of a Degenerate Quark-Gluon Plasma
Baier, R., & Redlich, K. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2100 · Cited by 27
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Phases of QCD: Lattice thermodynamics and a field theoretical model
Ratti, C., Thaler, M. A., & Weise, W. (2006) · Physical Review D · doi:10.1103/physrevd.73.014019 · Cited by 851
Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
Roberts, C. (2000) · Progress in Particle and Nuclear Physics · doi:10.1016/s0146-6410(00)00106-x · Cited by 632
ALICE: Physics Performance Report, Volume II
Collaboration, A., Alessandro, B., Antinori, F., Belikov, J. A., Blume, C., Dainese, A., Foka, P., Giubellino, P., Hippolyte, B., Kuhn, C., et al. (2006) · Journal of Physics G: Nuclear and Particle Physics · doi:10.1088/0954-3899/32/10/001 · Cited by 549
Metadata
- Authors
- Blaizot, J.-P., Iancu, E., & Rebhan, A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-02-02
- Volume
- 63
- Issue
- 6
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2020282634
- Cited by
- 317
- References
- 43
- FWCI
- 11.61
- Type
- journal article
- Language
- en
- Open access
- bronze
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