The DOI matches its Crossref record.
Thermal Field Theory
Abstract
Now in paperback, this text introduces the theoretical framework for describing the quark-gluon plasma, an important new state of matter. The first part of this book is a self-contained introduction to relativistic thermal field theory. Topics include the path integral approach, the real and the imaginary time formalisms, fermion fields and gauge fields at finite temperature. Useful techniques such as the evaluation of frequency sums or the use of cutting rules are illustrated on various examples. The second part of the book is devoted to recent developments, giving a detailed account of collective excitations (bosonic and fermionic), and showing how they give rise to energy scales which imply a reorganization of perturbation theory. The relation with kinetic theory is also explained. Applications to processes which occur in heavy ion collisions and in astrophysics are worked out in detail. Each chapter ends with exercises and a guide to the literature.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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 citing paper
“A summary of the results of these efforts mainly through the Pb + Pb experiments at SPS-CERN provided compelling evidence in favor of the existence of a new state of matter[23].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“The excess of dileptons in the small invariant mass region cannot be explained by charged pion annihilation [23].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“We summarize the observables that have been proposed as telltales of a QGP and the data gathered by the SPS from Pb + Pb and Pb + Au collisions, which taken together provide a hint of evidence [22, 23, 120, 129] for a QGP, although many of them could have alternative explanations.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“The current understanding of these features is that the medium effects result in a shift in the ρ meson mass as well as a change in its width[23, 120, 135].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
Citations
Cited by
Sorted by citations
Items 101–200 of 899
Jet quenching and broadening: The transport coefficient q in an anisotropic plasma
Baier, R., & Mehtar-Tani, Y. (2008) · Physical Review C · doi:10.1103/physrevc.78.064906 · Cited by 61
D -meson propagation in hot dense matter
Tolós, L., & Torres-Rincón, J. M. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.074019 · Cited by 61
Quark spectral function and deconfinement at nonzero temperature
Qin, S.-X., & Rischke, D. H. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.056007 · Cited by 60
Finite temperature effects on CP -violating asymmetries
Covi, L., Rius, N., Roulet, E., & Francesco Vissani, B. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.93 · Cited by 61
“We choose to work in the real time formalism (RTF) of thermal field theory [10].”
MethodGauge invariant definition of the jet quenching parameter
Benzke, M., Brambilla, N., Escobedo, M. Á., et al. (2013) · Journal of High Energy Physics · doi:10.1007/jhep02(2013)129 · Cited by 60
Spectral function for overoccupied gluodynamics from real-time lattice simulations
Boguslavski, K., Kurkela, A., Lappi, T., & Peuron, J. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.014006 · Cited by 60
“Having introduced the relevant correlation functions, we provide a short summary of expressions that are derived within the HTL formalism at LO [8, 46].”
MethodSmall shear viscosity in the semiquark gluon plasma
Hidaka, Y., & Pisarski, R. D. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.076002 · Cited by 62
Dielectric and optical properties of dense plasmas
Reinholz, H. (2005) · Annales de Physique · doi:10.1051/anphys:2006004 · Cited by 59
Baryogenesis from L -violating Higgs-doublet decay in the density-matrix formalism
Hambye, T., & Teresi, D. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.015031 · Cited by 59
Forming disoriented chiral condensates through fluctuations
Rischke, D. H. (1998) · Physical Review C · doi:10.1103/physrevc.58.2331 · Cited by 59
Thermal QCD Axions across Thresholds
D’Eramo, F., Hajkarim, F., & Yun, S. (2021) · Journal of High Energy Physics · doi:10.1007/jhep10(2021)224 · Cited by 70
“The function JF and JB are defined as follows [112, 113]”
BackgroundEquation of State of Cold Quark Matter to O(αs3lnαs)
Gorda, T., Paatelainen, R., Säppi, S., et al. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.181902 · Cited by 58
Dynamical renormalization group approach to quantum kinetics in scalar and gauge theories
Boyanovsky, D., de Vega, H. J., & Wang, S.-Y. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.065006 · Cited by 58
Thermal Momentum Distribution from Path Integrals with Shifted Boundary Conditions
Giusti, L., & Meyer, H. B. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.131601 · Cited by 57
Flow equations for spectral functions at finite external momenta
Tripolt, R.-A., von Smekal, L., & Wambach, J. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.074031 · Cited by 62
An effective field theory for non-relativistic Majorana neutrinos
Biondini, S., Nora Brambilla, A., Escobedo, M. Á., & Vairo, A. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)028 · Cited by 60
“We refer to textbooks like [28] for more details.”
MethodReal-time quantum dynamics of heavy-quark systems at high temperature
Akamatsu, Y. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.045016 · Cited by 55
Effective field theory out of equilibrium: Brownian quantum fields
Boyanovsky, D. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/6/063017 · Cited by 64
Bound on the neutrino magnetic moment from chirality flip in supernovae
Ayala, A., D’Olivo, J. C., & Torres, M. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.59.111901 · Cited by 56
“However, it is well known that at high temperature, a consistent formalism developed by Braaten and Pisarski [6,7], rendering gauge independent results, requires the use of effective propagators and vertices that resum the leading-temperature corrections.”
BackgroundInfluentialFinite temperature quark-gluon vertex with a magnetic field in the hard thermal loop approximation
Ayala, A., Cobos-Martínez, J. J., Loewe, M., Tejeda-Yeomans, M. E., & Zamora, R. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.016007 · Cited by 56
“As is well known, the purely thermal correction to the quark-gluon vertex is given by [27]”
BackgroundMethodChaudhuri, N., Ghosh, S., Sarkar, S., & Roy, P. K. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.116025 · Cited by 56
“[80] M.”
MethodQuark propagator at finite temperature and finite momentum in quenched lattice QCD
Karsch, F., & Kitazawa, M. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.056001 · Cited by 54
Color Superconductivity at Moderate Baryon DensityPreprint
Huang, M. (2004) · Cited by 55
Quasiparticle description of hot QCD at finite quark chemical potential
Thaler, M. A., Schneider, R., & Weise, W. (2004) · Physical Review C · doi:10.1103/physrevc.69.035210 · Cited by 54
Thermal photon production rate from nonequilibrium quantum field theory
Baier, R., Dirks, M., Redlich, K., & Schiff, D. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.2548 · Cited by 54
Quark spectral properties above T c from Dyson–Schwinger equations
Mueller, J. A., Fischer, C. S., & Nickel, D. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1499-8 · Cited by 53
Semiclassical and Stochastic Gravity
Hu, B. L., & Verdaguer, E. (2020) · Cambridge University Press eBooks · doi:10.1017/9780511667497 · Cited by 61
One-loop energy-momentum tensor in QED with electriclike background
Gavrilov, S. P., & Gitman, D. M. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.045017 · Cited by 53
Bloch-Nordsieck propagator at finite temperature
Blaizot, J.-P., & Edmond Iancu, A. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.7877 · Cited by 54
Thermal charm production in a quark-gluon plasma in Pb-Pb collisions at s NN = 5 . 5 TeV
Zhang, B.-W., Ko, C. M., & Liu, W. (2008) · Physical Review C · doi:10.1103/physrevc.77.024901 · Cited by 52
Quarkonium above deconfinement as an open quantum system
Young, C., & Dusling, K. (2013) · Physical Review C · doi:10.1103/physrevc.87.065206 · Cited by 51
Colloquium: Field theoretic description of ultrarelativistic electron-positron plasmas
Thoma, M. H. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.959 · Cited by 52
“Besides a non-perturbative method based on a numerical solution of the QCD equations (lattice QCD), perturbation theory at finite temperature has been used widely (Thoma, 1995a; Le Bellac, 1996).”
MethodNonequilibrium quantum dynamics of second order phase transitions
Kim, S. P., & Lee, C. H. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.125020 · Cited by 51
“Typeset using REVTEX I. INTRODUCTION A system can interact directly with an environment to make its coupling parameters depend explicitly on time.”
MethodDecay of a Yukawa fermion at finite temperature and applications to leptogenesis
Kießig, C. P., Michael Plümacher, A., & Thoma, M. H. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.036007 · Cited by 49
“also p0 = iωm = i(2m + 1)πT can be written as a Matsubara frequency and later on be continued analytically to real values of p0 [10,28,29].”
BackgroundResultStatus of rates and rate equations for thermal leptogenesis
Biondini, S., Bödeker, D., Nora Brambilla, A., Garny, M., Ghiglieri, J., Hohenegger, A., Laine, M., Mendizabal, S., Millington, P., Salvio, A., et al. (2018) · International Journal of Modern Physics A · doi:10.1142/s0217751x18420046 · Cited by 51
Thermal pion masses in the second phase: | μ I | > m π
Loewe, M., & Villavicencio, C. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.074005 · Cited by 50
Verification of the area law of mutual information in a quantum field simulator
Tajik, M., Kukuljan, I., Sotiriadis, S., Rauer, B., Schweigler, T., Cataldini, F., Sabino, J., Møller, F., Schüttelkopf, P., Ji, S.-C., et al. (2023) · Nature Physics · doi:10.1038/s41567-023-02027-1 · Cited by 48
Thermodynamics and phase structure of the two-flavor Nambu–Jona-Lasinio model beyond large Nc
Kneur, J.-L., Pinto, M. B., & Ramos, R. O. (2010) · Physical Review C · doi:10.1103/physrevc.81.065205 · Cited by 49
Charmonium spectral functions from 2+1 flavour lattice QCD
Borsányi, S., Dürr, S., Fodor, Z., Hoelbling, C., Katz, S. D., Krieg, S., Mages, S., Nógrádi, D., Pásztor, A., Schäfer, A., et al. (2014) · Journal of High Energy Physics · doi:10.1007/jhep04(2014)132 · Cited by 49
Self-consistent quasiparticle model for 2, 3, and ( 2+1 ) flavor QGP
Bannur, V. M. (2008) · Physical Review C · doi:10.1103/physrevc.78.045206 · Cited by 49
Bazow, D., Denicol, G. S., Heinz, U., Martínez, M., & Noronha, J. L. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.125006 · Cited by 49
Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
Casana, R., Ferreira, M. M., & Rodrigues, J. S. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.125013 · Cited by 49
Thermal effects on pure and hybrid inflation
Hall, L. M. H., & Moss, I. G. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.023514 · Cited by 52
What Do Electromagnetic Plasmas Tell Us about the Quark-Gluon Plasma?
Mrówczyński, S., & Thoma, M. H. (2007) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.57.090506.123124 · Cited by 49
Soft modes associated with chiral transition at finite temperature
Chiku, S., & Hatsuda, T. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.r6 · Cited by 49
Applicability of weak-coupling results in high density QCD
Rajagopal, K., & Shuster, E. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.085007 · Cited by 49
Dynamical and observational constraints on the warm little inflaton scenario
Mar Bastero-gil, A., Berera, A., Hernández–Jiménez, R., & Rosa, J. G. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.083502 · Cited by 47
Hard thermal loops, to quadratic order, in the background of a spatial ’t Hooft loop
Hidaka, Y., & Pisarski, R. D. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.036004 · Cited by 48
Nonrelativistic bound states at finite temperature. II. Muonic hydrogen
Escobedo, M. Á., & Soto, J. (2010) · Physical Review A · doi:10.1103/physreva.82.042506 · Cited by 48
“We will use the real-time formalism [30], which is mandatory for the study of the propagation of a (non-thermalised) non-relativistic system in a thermal bath.”
BackgroundMethodInfluentialRadiative heavy quark energy loss in a dynamical QCD medium
Djordjevic, M., & Heinz, U. (2008) · Physical Review C · doi:10.1103/physrevc.77.024905 · Cited by 47
Rath, S., & Patra, B. K. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.016009 · Cited by 47
Structure of the quark propagator at high temperatures
Weldon, H. A. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.036003 · Cited by 47
Gagnon, J.-S., & Jeon, S. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.025014 · Cited by 47
Holographic thermalization in $${{\mathcal N}}=4$$ N = 4 super Yang–Mills theory at finite coupling
Stricker, S. A. (2014) · The European Physical Journal C · doi:10.1140/epjc/s10052-014-2727-4 · Cited by 46
Decay of massive fields in de Sitter space
Jatkar, D. P., Leblond, L., & Rajaraman, A. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.85.024047 · Cited by 46
Thermal photon production in a strongly coupled anisotropic plasma
Patiño, L., & Trancanelli, D. (2013) · Journal of High Energy Physics · doi:10.1007/jhep02(2013)154 · Cited by 46
“In general, photon production in differential form is given by the expression [15, 17, 42]”
BackgroundPodolsky electromagnetism at finite temperature: Implications on the Stefan-Boltzmann law
Bonin, C. A., Bufalo, R., Pimentel, B. M., et al. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.025003 · Cited by 46
Electrical conductivity of the quark-gluon plasma: perspective from lattice QCD
Aarts, G., & Николаев, А. А. (2021) · The European Physical Journal A · doi:10.1140/epja/s10050-021-00436-5 · Cited by 46
Equation of state of deconfined matter within a dynamical quasiparticle description
Ivanov, Y. B., Skokov, V. V., & Тонеев, В. Д. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.014005 · Cited by 45
Perturbative nonequilibrium thermal field theory
Millington, P., & Apostolos Pilaftsis, A. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.085009 · Cited by 45
“6) as an evolution operator in negative imaginary time and using the cyclicity of the trace in the EEV, we derive the Kubo–Martin–Schwinger (KMS) relation (see for instance [97]) ∆>(x 0 − y,x− y) = ∆<(x − y + iβ,x− y) .”
BackgroundMethodInfluentialA MODEL STUDY OF THE EQUATION OF STATE OF QCD
Zong, H.-S., & Sun, W. (2008) · International Journal of Modern Physics A · doi:10.1142/s0217751x08040457 · Cited by 45
Opening the crystalline color superconductivity window
Leibovich, A. K., Rajagopal, K., & Shuster, E. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.094005 · Cited by 45
Photon emission from a momentum-anisotropic quark-gluon plasma
Shen, C., Paquet, J.-F., Heinz, U., & Gale, C. (2015) · Physical Review C · doi:10.1103/physrevc.91.014908 · Cited by 42
Casana, R., Ferreira, M. M., Rodrigues, J. S., & Silva, M. R. O. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.085026 · Cited by 46
Particle number in kinetic theory
Garbrecht, B., Prokopec, T., & Schmidt, M. G. (2004) · The European Physical Journal C · doi:10.1140/epjc/s2004-02007-0 · Cited by 44
Fluctuations in a Thermal Field and Dissipation of a Black Hole Spacetime: Far-Field Limit
Campos, A., & Hu, B. L. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026670816596 · Cited by 43
Bandyopadhyay, A., Karmakar, B., Haque, N., et al. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.034031 · Cited by 43
Non-Fermi-liquid specific heat of normal degenerate quark matter
Gerhold, A., Ipp, A., & Rebhan, A. K. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.70.105015 · Cited by 43
Plasmons, plasminos and Landau damping in a quasiparticle model of the quark-gluon plasma
Schulze, R., Bluhm, M., & Kämpfer, B. (2008) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2008-00600-8 · Cited by 42
Shear viscosity of a pion gas resulting from ρππ and σππ interactions
Ghosh, S., Krein, G. I., & Sarkar, S. (2014) · Physical Review C · doi:10.1103/physrevc.89.045201 · Cited by 42
D’Eramo, F., Lekaveckas, M., Liu, H., et al. (2012) · DSpace@MIT (Massachusetts Institute of Technology) · doi:10.48550/arxiv.1211.1922 · Cited by 42
Thermal photons from heavy ion collisions: A spectral function approach
Dusling, K., & Ismail Zahed, A. (2010) · Physical Review C · doi:10.1103/physrevc.82.054909 · Cited by 39
Duarte, D. C., Farias, R. L. S., & Ramos, R. O. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.083525 · Cited by 42
Chiral transition with magnetic fields
Ayala, A., Hernández, L. A., Mizher, A. J., et al. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.116017 · Cited by 41
Open quantum dynamics induced by light scalar fields
Burrage, C., Käding, C., Millington, P., & Minář, J. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.076003 · Cited by 41
Non-Fermi-liquid aspects of cold and dense QED and QCD: Equilibrium and nonequilibrium
Boyanovsky, D., & de Vega, H. J. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.034016 · Cited by 41
Decoherence in an interacting quantum field theory: Thermal case
Koksma, J. F., Prokopec, T., & Schmidt, M. G. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.085011 · Cited by 48
Instabilities of the small black hole: a view fromScript N = 4SYM
Hollowood, T. J., Kumar, S. P., & Naqvi, A. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/01/001 · Cited by 41
Quantisation across bubble walls and friction
Azatov, A., Barni, G., Petrossian-Byrne, R., & Vanvlasselaer, M. (2024) · Journal of High Energy Physics · doi:10.1007/jhep05(2024)294 · Cited by 40
Damping rate of quasiparticles in degenerate ultrarelativistic plasmas
Bellac, M. L., & Manuel, C. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.3215 · Cited by 40
Self-citationGeneral structure of gauge boson propagator and its spectra in a hot magnetized medium
Karmakar, B., Bandyopadhyay, A., Haque, N., et al. (2019) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7154-0 · Cited by 39
Decoherence in an interacting quantum field theory: The vacuum case
Koksma, J. F., Prokopec, T., & Schmidt, M. G. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.81.065030 · Cited by 52
Resonant optical second harmonic generation in graphene-based heterostructures
Vandelli, M., Katsnelson, M. I., & Stepanov, E. A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.165432 · Cited by 38
Holographic dilepton production in a thermalizing plasma
Baier, R., Stricker, S. A., Taanila, O., et al. (2012) · Journal of High Energy Physics · doi:10.1007/jhep07(2012)094 · Cited by 38
“[25]), dΓ d4Q = − αηΠμν(Q) 24π4Q2 , (3.”
Loewe, M., Villavicencio, C., & Zamora, R. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.016004 · Cited by 38
Local approximations for effective scalar field equations of motion
Berera, A., Moss, I. G., & Ramos, R. O. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.083520 · Cited by 38
Critical and tricritical points for the massless 2D Gross-Neveu model beyond large N
Kneur, J.-L., Pinto, M. B., & Ramos, R. O. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.125020 · Cited by 38
Ultrasoft amplitudes in hot QCD
Blaizot, J.-P., & Edmond Iancu, A. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00783-x · Cited by 38
“Cy, 52.60.+h To appear in Nuclear Physics B aE-mail: blaizot@spht.saclay.cea.fr bLaboratoire de la Direction des Sciences de la Matière du Commissariat à l’Energie Atomique cE-mail: edmond.iancu@cern.ch”
BackgroundInfluentialChiral spin symmetry and the QCD phase diagram
Glozman, L. Y., Philipsen, O., & Pisarski, R. D. (2022) · The European Physical Journal A · doi:10.1140/epja/s10050-022-00895-4 · Cited by 39
Frequency dependence of the Chiral Vortical Effect
Landsteiner, K., Megías, E., & Peña-Benítez, F. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.065026 · Cited by 37
“By considering μ5 = 0 in the previous formula, we recover the standard result in the literature [41].”
ResultCharmonium spectral functions from 2+1 flavour lattice QCD
Borsányi, S., Dürr, S., Fodor, Z., Hoelbling, C., Katz, S. D., Krieg, S., Mages, S., Nógrádi, D., Pásztor, A., Andreas Schäfer, A., et al. (2014) · University of Regensburg Publication Server (University of Regensburg) · Cited by 36
On charged black holes in anti-de Sitter space
Brecher, D., He, J., & Moshe Rozali, A. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/04/004 · Cited by 41
Unruh response functions for scalar fields in de Sitter space
Garbrecht, B., & Prokopec, T. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/21/016 · Cited by 37
Dilepton and photon production in the presence of a nontrivial Polyakov loop
Hidaka, Y., Lin, S., Pisarski, R. D., & Satow, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep10(2015)005 · Cited by 43
Garny, M., & Heisig, J. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.055004 · Cited by 36
Ayala, A., Bashir, A., Raya, A., et al. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.036005 · Cited by 35
Longitudinal fluid dynamics for ultrarelativistic heavy-ion collisions
Satarov, L. M., Mishustin, I. N., Merdeev, A. V., & Horst Stöcker, B. (2007) · Physical Review C · doi:10.1103/physrevc.75.024903 · Cited by 35
High momentum dilepton production from jets in a quark gluon plasma
Turbide, S., Gale, C., Srivastava, D. K., & Fries, R. J. (2006) · Physical Review C · doi:10.1103/physrevc.74.014903 · Cited by 35
Hard thermal loops for soft or collinear external momenta
Besak, D., & Bödeker, D. (2010) · Journal of High Energy Physics · doi:10.1007/jhep05(2010)007 · Cited by 33
Dark matter abundance from the sequential freeze-in mechanism
Bélanger, G., Delaunay, C., Pukhov, A., et al. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.035017 · Cited by 34
Metadata
- Authors
- Le Bellac, M.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1996-08-01
- OpenAlex
- W4210557146
- Cited by
- 897
- References
- 0
- Citations by year
- 2026: 20 · 2025: 35 · 2024: 28 · 2023: 30 · 2022: 25 · 2021: 32 · 2020: 54 · 2019: 28 · 2018: 21 · 2017: 25 · 2016: 22 · 2015: 32 · 2014: 36 · 2013: 40 · 2012: 38
- FWCI
- 13.98
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- 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
- thermal field theory, quark-gluon plasma, path integral, imaginary time formalism, real-time formalism, fermion fields, gauge fields, cutting rules, collective excitations, kinetic theory, heavy-ion collisions, astrophysical plasmas
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
