The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
The pressure in 2, 2+1 and 3 flavour QCD
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“In the case of two-flavour QCD T c ≈ 175 MeV [68, 69], whereas for three-flavour QCD T c ≈ 155 MeV [68], almost independent of the quark mass.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [69]
Citations
Cites
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
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
Hard-Thermal-Loop Resummation of the Free Energy of a Hot Gluon Plasma
Andersen, J. O., Braaten, E., & Strickland, M. T. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2139 · Cited by 222
Blaizot, J.-P., Edmond Iancu, A., & Rebhan, A. K. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.2906 · Cited by 214
Equation of State for the SU(3) Gauge Theory
Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Lütgemeier, M., & Petersson, B. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.4169 · Cited by 205
Self-citationNon-perturbative thermodynamics of SU (N) gauge theories
Engels, J., Fingberg, J., Karsch, F., Miller, D. E., & Weber, M. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90496-s · Cited by 189
Self-citationOn-shell improved action for QCD with susskind fermions and the asymptotic freedom scale
Naik, S. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90394-5 · Cited by 142
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
Improving flavor symmetry in the Kogut-Susskind hadron spectrum
Blum, T., DeTar, C. E., Gottlieb, S., Rummukainen, K., Heller, U. M., Hetrick, J. E., Toussaint, D., Sugar, R. L., & Matthew Wingate, A. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.r1133 · Cited by 122
Research works printed but not linked: 6
- For recent discussions of the flavour dependence of the QCD phase diagram and further references see: JLQCD Collaboration, S. Aoki et al., Nucl. Phys. B [Proc. Suppl.] 73 (1999) 456
- For a recent review see: J. Rafelski, J. Letessier, Diagnosis of QGP with Strange Hadrons, hep-ph/9910300. · arXiv
- For a recent review see: F. Karsch, Lattice QCD at Finite Temperature and Density, hep-lat/9908046. · arXiv
- J.O. Andersen, E. Braaten, M. Strickland, Hard Thermal Loop Resummation of the Free Energy of a Hot Quark Gluon Plasma, hep-ph/9908323. · arXiv
- J.P. Blaizot, E. Iancu, A. Rebhan, Self-Consistent Hard-Thermal-Loop Thermodynamics for the Quark-Gluon Plasma, hep-ph/9910309. · arXiv
- CP-PACS Collaboration, A. Ali Khan et al., Equation of State in Finite Temperature QCD with Improved Wilson Quarks, hep-lat/9909075. · arXiv
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Fodor, Z. (2006) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/j.nuclphysbps.2006.01.012 · Cited by 2
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Karsch, F. (2002) · Springer eBooks · doi:10.1007/978-94-010-0267-7_12 · Cited by 2
Self-citationGhimiray, M., Subba, N., Ahmed, A., Tawfik, A. N., & Haldar, P. K. (2022) · Indian Journal of Physics · doi:10.1007/s12648-022-02492-z · Cited by 2
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Лукашов, М. С., & Simonov, Y. A. (2023) · Physics of Atomic Nuclei · doi:10.1134/s1063778824010332 · Cited by 2
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Shuryak, E. (2007) · Springer eBooks · doi:10.1007/3-540-45792-5_7 · Cited by 2
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A survey of lattice results on finite temperature quantum chromodynamics
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Self-citationJ/ψ production in PHENIX at RHIC
Kim, D. (2005) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/31/4/038 · Cited by 2
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Ejiri, S., Allton, C. R., Hands, S. J., Kaczmarek, O., Karsch, F., Laermann, E., & Scorzato, L. (2002) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(01)01746-7 · Cited by 2
Self-citationAspects of the thermal phase transition of QCD with small chemical potential
Shinji Ejiri, A., Allton, C. R., Hands, S., Kaczmarek, O., Karsch, F., Laermann, E., & Scorzato, L. (2002) · PUB – Publications at Bielefeld University (Bielefeld University) · Cited by 2
Self-citationFlavor symmetry breaking and scaling for improved staggered actions in quenched QCDPreprint
Cheng, M., Christ, N. H., Jung, C., Karsch, F., Mawhinney, R. D., Petreczky, P., Petrov, K., & Physik, F. F. (2008) · Cited by 2
Self-citationCHARMONIUM PRODUCTION IN Pb – Pb COLLISIONS AT ALICE: FROM SUPPRESSION TO REGENERATION?
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Ikeda, Y. (2014) · Journal of Physics Conference Series · doi:10.1088/1742-6596/509/1/012025 · Cited by 1
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Patra, B. K., Devi, L., Kakade, U., Agotiya, V. K., & Chandra, V. (2012) · Journal of Modern Physics · doi:10.4236/jmp.2012.36065 · Cited by 1
“In the studies of the bulk properties of the QCD plasma phase [31-34], deviations from perturbative calculations were found at temperatures much larger than the deconfinement temperature.”
BackgroundTHE QCD EQUATION OF STATE AND QUARK STAR PROPERTIES
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“In Figures 7–10, we have shown our results on (2+1)-flavors and 4-flavors QGP using EoS1 and EoS2 for pure gauge, 2-flavor, and 3-flavor QGP and compared it with Bannur EoS along with lattice data [74, 75] and replotted the variation of P(T)/T4 and energy density ε(T)/T4 with temperature T/T푐 for all systems.”
ResultNuclear and quark matter at high temperature
Bíró, T. S., Jakovác, A., & Schram, Z. (2017) · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · Cited by 1
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“There is an extensive body of work at Nt = 4 [26, 27], but relatively little at Nt = 6 [28, 16, 29].”
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Metadata
- Authors
- Karsch, F., Laermann, E., & Peikert, A.
- Affiliations
- Bielefeld University (DE)
- Hiroshima University (JP)
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2000-04
- Volume
- 478
- Issue
- 4
- Pages
- 447-455
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2145123567
- Cited by
- 368
- References
- 21
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 3 · 2023: 6 · 2022: 4 · 2021: 3 · 2020: 8 · 2019: 4 · 2018: 4 · 2017: 5 · 2016: 5 · 2015: 9 · 2014: 7 · 2013: 10 · 2012: 16
- FWCI
- 18.53
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Department of Transport and Main Roads, Queensland Government (ERBFMRX-CT-970122)
- Deutsche Forschungsgemeinschaft (Ka 1198/4-1)
- Ministry of Education, Culture, Sports, Science and Technology (11694085)
- 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 pressure, two-flavor QCD, three-flavor QCD, Stefan-Boltzmann constant, finite temperature QCD, lattice QCD, quark mass effects, heavy quarks, ideal Fermi gas, massless quarks, continuum extrapolation
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