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Cited by 240High-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies

L ATTICE QCD AT F INITE T EMPERATURE

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Laermann, E., Philipsen, O.·2003·Annual Review of Nuclear and Particle Science
DOI 10.1146/annurev.nucl.53.041002.110609
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Abstract

▪ 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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Crossref · 10.1146/annurev.nucl.53.041002.110609

Cites

113 of 113 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

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  • A simple and phenomenologically useful description is provided by Bjorken's model for longitudinal expansion.

    “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]

    Section 8, “Dynamic Properties” (p. 26), discusses the difficulty of describing real-time processes with lattice QCD, while the Summary (p. 38) discusses the plasma in heavy-ion collisions. Neither addresses Bjorken’s model as a simple, phenomenologically useful description of longitudinal expansion. Searches for “Bjorken,” “longitudinal expansion,” and “boost-invariant” found no supporting passage in our copy. (LLM, conf=0.76)

    Experimental — accuracy not yet measured

  • Under the assumption that the central region is baryon free, the conservation of entropy and energy and momentum lead to the following equations.

    “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]

    Section 9 (p. 28) describes the plasma in heavy-ion collisions as high-temperature and low-density, with a small non-zero baryon number; it does not describe a baryon-free central region. Section 4 (p. 11) discusses quantities relevant to plasma evolution, but neither it nor the passages retrieved for entropy and energy–momentum conservation gives the claimed derivation of equations. (LLM, conf=0.73)

    Experimental — accuracy not yet measured

  • In this description the dynamical evolution of the fluid is obtained from the conservation laws of energy-momentum, baryon number and entropy with an equation of state p = p(ε) to close the set of equations.

    “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]

    Section 4, p. 11 says pressure and energy density are thermodynamic quantities relevant to the plasma’s time evolution. But the citation is attached to the claim that fluid evolution is obtained from conservation of energy-momentum, baryon number and entropy. Searches for those conservation laws and hydrodynamic equations found no passage in our copy stating that claim. (LLM, conf=0.72)

    Experimental — accuracy not yet measured

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Cites

Flagged first, then by citations

Research works printed but not linked: 28

  1. [8][8] Privman V, Hohenberg PC and Aharony A, in Phase transitions and critical phenomena , Domb C and Lebowitz J L (eds.), New York: Academic Press, 1991. -
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  3. [11][11] Karsch F and Laermann E, Phys. Rev. D 50:6954 (1994); Laermann E, Nucl. Phys. Proc. Suppl. B60:180 (1998) and references therein. -
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  8. [23][23] Schmidt C et al., hep-lat/0209009, hep-lat/0210037. - · arXiv
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  10. [38][38] see the review by Blaizot J-P and Iancu E, Phys. Rep. 359:355 (2002). -
  11. [40][40] Peikert A, Dissertation, Bielefeld 2000. -
  12. [42][42] Arnold P and Zhai C, Phys. Rev. D 50:7603 (1994), 51:1906 (1995); Zhai C and Kastening B, Phys. Rev. D 52:7232 (1995). -
  13. [56][56] Gavai RV and Gupta S, hep-lat/0211015, and references to their earlier work therein. - · arXiv
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  16. [86][86] Bornyakov V et al., hep-lat/0209157. - · arXiv
  17. [89][89] Kaczmarek O, Karsch F, Petreczky P and Zantow F, Phys. Lett. B543:41 (2002); hep-lat/0301015. - · arXiv
  18. [93][93] Bernard C et al. [MILC Collaboration], hep-lat/0209079. - · arXiv
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  20. [105][105] for a first attempt see Gupta S, hep-lat/0301006. - · arXiv
  21. [108][108] For a review and references, see Rajagopal K and Wilczek F, hepph/0011333, in At the Frontier of Particle Physics , Shifman M, ed., Vol.3:2061, World Scientific. -
  22. [111][111] Hands S, Nucl. Phys. Proc. Suppl. B106:142 (2002); Chandrasekharan S, Nucl. Phys. Proc. Suppl. B94:71 (2001); Philipsen O, Nucl. Phys. Proc. Suppl. B94:49 (2001). -
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  28. [128][128] de Forcrand P and Philipsen O, hep-ph/0301209. · arXiv

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Related

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
DOI
10.1146/annurev.nucl.53.041002.110609
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
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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