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L ATTICE QCD AT F INITE T EMPERATURE
Open accessAbstract
▪ Abstract We review lattice QCD investigations at high temperature. After a short introduction to thermal QCD on the lattice, we report on the present understanding of the phase diagram and the equation of state, particularly in the presence of dynamical quarks. We discuss various screening lengths in the plasma phase, including results from dimensionally reduced QCD. We then summarize lattice data on quark-number susceptibilities and spectral densities, both of which are immediately relevant to the interpretation of heavy-ion experiments. A major section is devoted to simulations of QCD at small, yet phenomenologically important, values for the baryon density.
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“Asimple and phenomenologically useful description is provided by Bjorken's model for longitudinal expansion [67, 121, 123, 124].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [67]
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“Under the assumption that the central region is baryon free, the conservation of entropy and energy and momentum lead to the following equations (for details see [67, 121, 123, 124, 125])”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [67]
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“In this description the dynamical evolution of the fluid is obtained from the conservation laws of energy-momentum, baryon number and entropy [67, 121, 124, 125] with an equation of state p = p ( ε ) to close the set of equations.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [67]
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Cites
J/ψ suppression by quark-gluon plasma formation
Matsui, T., & Satz, H. (1986) · Physics Letters B · doi:10.1016/0370-2693(86)91404-8 · Cited by 2,912
Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
Yang, C., & Lee, T. D. (1952) · Physical Review · doi:10.1103/physrev.87.404 · Cited by 1,949
Quantization of non-Abelian gauge theories
Gribov, V. N. (1978) · Nuclear Physics B · doi:10.1016/0550-3213(78)90175-x · Cited by 1,774
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
Montvay, I., & Münster, G. (1994) · Cambridge University Press eBooks · doi:10.1017/cbo9780511470783 · Cited by 1,204
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
Self-citationLe Bellac, M. (1996) · doi:10.1017/cbo9780511721700 · Cited by 897 · cited 2×
“set-up of lattice thermodynamics and a discussion of its current limitations. 2 QCD Thermodynamics on the Lattice Detailed introductions to thermal field theory and lattice field theory can be found in [1] and [2], respectively. The QCD grand canonical partition function is given by Z(V,µ,T) = Tr e −(Hˆ µQˆ)/T = Z DADψD…”
BackgroundInfrared problem in the thermodynamics of the Yang-Mills gas
Linde, A. D. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90769-8 · Cited by 802
Superfluidity and superconductivity in relativistic fermion systems
Bailin, D., & Love, A. (1984) · Physics Reports · doi:10.1016/0370-1573(84)90145-5 · Cited by 758
The QCD phase diagram for small densities from imaginary chemical potential
de Forcrand, P., & Philipsen, O. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00626-0 · Cited by 735
Self-citation
Research works printed but not linked: 14
- Schmidt C, et al. hep-lat/0209009, hep-lat/0210037 · arXiv
- Wittig H. hep-lat/0210025 · arXiv
- Blaizot J-P, Iancu E, Rebhan A. hep-ph/0303185 · arXiv
- Peikert A. QCD thermodynamics with 2+1 quark flavors in lattice simulations. PhD thesis. Univ. Bielefeld, Bielefeld, Germany(2000)
- Bornyakov V, et al. hep-lat/0209157 · arXiv
- Bernard C, et al. (MILC Collab.)hep-lat/0209079 · arXiv
- Gupta S. hep-lat/0202005 · arXiv
- Karsch F, Wetzorke I. hep-lat/0008008 · arXiv
- Gupta S. hep-lat/0301006 · arXiv
- Crompton PR. hep-lat/0301001 · arXiv
- Lombardo MP, 2000, Nucl. Phys. Proc. Suppl., 83, 375
- Ejiri S. hep-lat/0212022 · arXiv
- Fodor Z, Katz SD, Szabo KK. hep-lat/0208078 · arXiv
- de Forcrand P, Philipsen O. hep-ph/0301209 · arXiv
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Mustafa, M. G., Raniwala, S., Awes, T. C., Rai, B., Bhalerao, R. S., Contreras, J., Gavai, R. V., Ghosh, S., Jaikumar, P., Mishra, G. C., et al. (2006) · Pramana · doi:10.1007/s12043-006-0106-x · Cited by 1
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Gavai, R. V. (2006) · Journal of Physics Conference Series · doi:10.1088/1742-6596/50/1/010 · Cited by 1
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Petreczky, P. (2005) · Journal of Physics Conference Series · doi:10.1088/1742-6596/16/1/022 · Cited by 1
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Fraga, E. S., & Villavicencio, C. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.065022 · Cited by 1
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Schwarz, D. J. (2008) · Numerical data and functional relationships in science and technology. Group I, Elementary particles, nuclei and atoms · doi:10.1007/978-3-540-74203-6_9 · Cited by 1
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Ibarra, J. R. M., Aguirre, A. J. G., & Flores-Baez, F. V. (2015) · International Journal of Modern Physics A · doi:10.1142/s0217751x15502140
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Michalski, S. (2007) · Technische Universität Dortmund Eldorado (Technische Universität Dortmund) · doi:10.17877/de290r-15961
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Bartz, S. P., & Jacobson, T. N. (2018) · International Workshop on Critical Point and Onset of Deconfinement (CPOD) · doi:10.22323/1.311.0064
Vasileiou, M. (2018) · EPJ Web of Conferences · doi:10.1051/epjconf/201818202126
QCD thermodynamics from the lattice
DeTar, C. E., & Heller, U. M. (2010) · Advances in the physics of particles and nuclei · doi:10.1007/978-3-642-04123-5_1
Vermunt, L. A. (2022) · doi:10.33540/1029
Exploring the details of the QCD phase diagram
de Forcrand, P., & Philipsen, O. (2007) · Springer eBooks · doi:10.1007/978-3-540-72516-9_110
Self-citationOmar Benhar, A. (2023) · Lecture notes in physics · doi:10.1007/978-3-031-35628-5_4
Effect of a Wake-Field on the Dissociation of Quarkonium in Collisional Quark–Gluon Plasma
Kuanyshbaiuly, Y., Junissov, A., & Муратов, М. М. (2023) · Particles · doi:10.3390/particles6040057
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Kraeva, A. Y. (2024) · Universe · doi:10.3390/universe10040188
Waqas, M., Ajaz, M., Saidani, T. S., & Ismail, A. H. (2024) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-024-05227-7
The dense QCD equation of state within a modified NJL model
Zhang, F. (2024) · Modern Physics Letters A · doi:10.1142/s0217732324501037
Dimensional Reduction Near the Deconfinement Transition
Kurkela, A. (2008) · Työväentutkimus Vuosikirja
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Wu, J., Li, C., Wang, Y., & He, Y. (2025) · Physics of Particles and Nuclei · doi:10.1134/s1063779625700273
Michael, T., & Mishra, A. N. (2025) · Springer proceedings in physics · doi:10.1007/978-981-96-4986-0_44
Aboona, B. E., Adam, J., Agakishiev, G., Aggarwal, I., Aggarwal, M. M., Ahammed, Z., Aitbayev, A., Alekseev, I. G., Alpatov, E., Alshammri, A. K., et al. (2026) · Physical Review C · doi:10.1103/4161-dflc
Waqar, M., Alrebdi, H. I., Ajaz, M., Waqas, M., Ahmad, M. A., & Ghodhbani, R. (2026) · Few-Body Systems · doi:10.1007/s00601-026-02029-8
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Metadata
- Authors
- Laermann, E., & Philipsen, O.
- Affiliations
- Bielefeld University (DE)
- ORCID
- Philipsen, O.
- Venue
- Annual Review of Nuclear and Particle Science
- Publisher
- Annual Reviews
- Published
- 2003-12
- Volume
- 53
- Issue
- 1
- Pages
- 163-198
- ISSN
- 0163-8998 (ISSN-L)
- 1545-4134
- OpenAlex
- W2145345137
- Cited by
- 240
- References
- 109
- Citations by year
- 2026: 5 · 2025: 17 · 2024: 8 · 2023: 6 · 2022: 7 · 2021: 5 · 2020: 6 · 2019: 10 · 2018: 5 · 2017: 7 · 2016: 6 · 2015: 9 · 2014: 5 · 2013: 7 · 2012: 4
- FWCI
- 2.26
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Annual Review of Nuclear and Particle Science (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell 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
- lattice QCD, finite temperature, finite temperature QCD, QCD phase diagram, equation of state, dynamical quarks, screening length, quark number susceptibilities, power spectrum, heavy ion experiments, baryon density
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