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 401–500 of 899
Nontopological Finite Temperature Induced Fermion Number
Aitchison, I. J. R., & Dunne, G. V. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.1690 · Cited by 13
Warm inflation in the presence of magnetic fields
Piccinelli, G., Sánchez, Á., Ayala, A., et al. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.083504 · Cited by 13
Retarded thermal Green’s functions and forward scattering amplitudes at two loops
Brandt, F. T., Das, A., & Frenkel, J. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.105008 · Cited by 13
Pion propagation in the linear sigma model at finite temperature
Ayala, A., & Sahu, S. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.056007 · Cited by 13
Electroweak Baryogenesis and Primordial Hypermagnetic Fields
Piccinelli, G., & Ayala, A. (2004) · Lecture notes in physics · doi:10.1007/978-3-540-40918-2_11 · Cited by 13
Momentum space entanglement from the Wilsonian effective action
Costa, M. H. M., van den Brink, J., Nogueira, F. S., & Krein, G. I. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.065024 · Cited by 12
Cao, S., & Boyanovsky, D. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.123503 · Cited by 17
Thermodynamics of an exactly solvable confining quark model
Guimarães, M. S., Mintz, B. W., & Palhares, L. F. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.085029 · Cited by 12
“In order to calculate the partition function of the theory (9), we shall use standard techniques of finite temperature field theory in the Matsubara imaginary time formalism [51, 56].”
BackgroundMethodSatow, D. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.096011 · Cited by 12
Magnetocaloric effect and Grüneisen parameter of quantum magnets with a spin gap
Rakhimov, A., Gazizulina, A., Narzikulov, Z., Schilling, A., & Sherman, E. Y. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.98.144416 · Cited by 12
Karmakar, B., Haque, N., & Mustafa, M. G. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.054004 · Cited by 12
Fermionic excitations at finite temperature and density
Tripolt, R.-A., Rischke, D. H., von Smekal, L., & Wambach, J. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.101.094010 · Cited by 12
Sterile neutrino dark matter: impact of active-neutrino opacities
Bödeker, D., & Klaus, A. (2020) · Journal of High Energy Physics · doi:10.1007/jhep07(2020)218 · Cited by 12
Loewe, M., & Zamora, R. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.076011 · Cited by 12
Bandyopadhyay, A., Ghosh, S., Farias, R. L. S., et al. (2023) · The European Physical Journal C · doi:10.1140/epjc/s10052-023-11655-z · Cited by 12
(1 + 1) dimensional hydrodynamics for high-energy heavy-ion collisions
Satarov, L. M., Mishustin, I. N., Merdeev, A. V., & Horst Stöcker, B. (2007) · Physics of Atomic Nuclei · doi:10.1134/s1063778807100146 · Cited by 12
M. Dirks, A. Niégawa, & Okano, K. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00829-1 · Cited by 12
“For a discussion of dynamical quantities continuation to Minkowski space should be done in the usual way.”
BackgroundThermal behavior of π−π scattering lengths in the Nambu–Jona-Lasinio model
Loewe, M., Ruiz, J., & Rojas, J. C. (2008) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.78.096007 · Cited by 12
Nonequilibrium dynamics of mixing, oscillations, and equilibration: A model study
Boyanovsky, D., & Ho, C. M. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.085004 · Cited by 12
Effective action for the order parameter of the deconfinement transition of Yang-Mills theories
Gies, H. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.025013 · Cited by 12
“If the vacuum state is characterized by c = 1/2, our model is confining, whereas a vacuum state different from c = 1/2 characterizes the deconfinement phase.”
BackgroundNakamura, A., Pushkina, I., Saito, T., et al. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02897-6 · Cited by 12
Screening of mass singularities and finite soft-photon production rate in hot QCD
Niégawa, A. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.1073 · Cited by 12
Axion Models with High Scale InflationPreprint
Moroi, T., Mukaida, K., Nakayama, K., et al. (2016) · Cited by 12
Refractive index in the viscous quark-gluon plasma
Jiang, B.-F., Hou, D., Li, J., et al. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.045014 · Cited by 11
“Second, if such relation m(2)D = 3ω 2 P is adopted[51], when η/s = 0, ε(ω, k) recovers the HTL result obtained by the kinetic theory or finite temperature field theory[40, 41, 43, 46, 47].”
BackgroundMethodInfluentialAyala, A., & Bashir, A. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.64.025015 · Cited by 11
Corrêa, E. B. S., Linhares, C. A., Malbouisson, A. P. C., et al. (2017) · The European Physical Journal C · doi:10.1140/epjc/s10052-017-4815-8 · Cited by 11
Haque, N. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.014013 · Cited by 11
Thermal properties of $$\pi $$ and $$\rho $$ meson
Gao, F., & Ding, M. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-020-08766-2 · Cited by 11
“On the other hand, the pole mass is in principle difficult to define since an analytic continuation of the Matsubara frequency in the form of spectral representation is required, which is [51]:”
BackgroundPolarization energy loss in hot viscous quark–gluon plasma
Jiang, B.-F., Hou, D., & Li, J. (2015) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/42/8/085107 · Cited by 11
Thermal nonlocal Nambu–Jona-Lasinio model in the real time formalism
Loewe, M., Morales, P., & Villavicencio, C. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.096005 · Cited by 11
Branch cuts due to finite-temperature quasiparticles
Weldon, H. A. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.105002 · Cited by 11
“Both Le Bellac [14] and Gelis [15] display the two-loop discontinuity as an integral over d4p containing δ′(p2−m2).”
BackgroundMethodInfluentialEnergy and momentum relaxation of heavy fermion in dense and warm plasma
Sarkar, S., & Dutt-Mazumder, A. K. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.056003 · Cited by 11
Four-point spectral functions and Ward identities in hot QED
Defu, H., Carrington, M. E., Kobes, R., et al. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.085013 · Cited by 11
Next-to-leading order static gluon self-energy for anisotropic plasmas
Carrington, M. E., & Rebhan, A. K. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.025018 · Cited by 11
Effective potential and thermodynamics for a coupled two-field Bose-gas model
Pinto, M. B., Ramos, R. O., & Cruz, F. (2006) · Physical Review A · doi:10.1103/physreva.74.033618 · Cited by 11
Fermionic Schwinger-Keldysh Propagators from AdS/CFT
Giecold, G. C. (2009) · CERN Document Server (European Organization for Nuclear Research) · Cited by 11
QCD Pressure and the Trace Anomaly
Drummond, I. T., Horgan, R. R., Landshoff, P. V., et al. (1999) · CERN Document Server (European Organization for Nuclear Research) · Cited by 11
Holographic quenches and fermionic spectral functions
Callebaut, N., Craps, B., Galli, F., et al. (2014) · Journal of High Energy Physics · doi:10.1007/jhep10(2014)172 · Cited by 10
Spin polarization and color superconductivity in the Nambu–Jona-Lasinio model at finite temperature
Matsuoka, H., Tsue, Y., da Providência, J., Providência, C., & Yamamura, M. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.054025 · Cited by 10
Thermal width of the Higgs boson in hot QCD matter
Ghiglieri, J., & Wiedemann, U. A. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.054002 · Cited by 10
The case for mixed dark matter from sterile neutrinos
Lello, L., & Boyanovsky, D. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/06/011 · Cited by 10
Langevin description of gauged scalar fields in a thermal bath
Miyamoto, Y., Motohashi, H., Suyama, T., et al. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.085037 · Cited by 10
Gamma flashes from relativistic electron-positron plasma droplets
Mustafa, M. G., & Kämpfer, B. (2009) · Physical Review A · doi:10.1103/physreva.79.020103 · Cited by 10
“Relativistic plasmas have some interesting specific features, such as collective plasmon or plasmino excitations [8] with accompanying van Hove singularities [9].”
BackgroundSoft fermion dispersion relation at next-to-leading order in hot QED
Carrington, M. E. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.75.045019 · Cited by 10
In-medium vector mesons and low mass lepton pairs from heavy ion collisions
Sarkar, S., & Ghosh, S. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/374/1/012010 · Cited by 10
Chemical potentials in real-time thermal field theory
Weldon, H. A. (2007) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.76.125029 · Cited by 9
Δ self-energy at finite temperature and density and the πN cross section
Ghosh, S., Sarkar, S., & Mitra, S. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.056010 · Cited by 10
New interpretation of the chiral phase transition: Violation of the trilemma in QCD
Cui, C.-X., Li, J., Matsuzaki, S., et al. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.114031 · Cited by 10
Topological Concepts in Gauge Theories
Lenz, F. (2004) · Lecture notes in physics · doi:10.1007/978-3-540-31532-2_2 · Cited by 10
“For small amplitude oscillations eLa3 ≪ 2π, Veff can be approximated by the quadratic term, which in the small extension or high temperature limit, mL = m/T ≪ 1, defines the Debye screening mass [74, 77] m(2)D = 1 3 e(2)T 2 .”
BackgroundAbelian Higgs model effective potential in the presence of vortices
Ramos, R. O., Neto, J. F. D. M., Barci, D. G., et al. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.103524 · Cited by 10
Representation of spectral functions and thermodynamics
Jakovác, A. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.085007 · Cited by 10
Hard thermal loops and beyond in the finite temperature world-line formulation of QED
Raju Venugopalan, B., & Wirstam, J. (2001) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.63.125022 · Cited by 10
“This procedure applies in general to internal symmetries, and as was shown in [32], even additional internal indices such as color can be represented by a true scalar world–line action.”
BackgroundMethodThermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions
Gérard, C., & Jäkel, C. D. (2004) · Journal of Functional Analysis · doi:10.1016/j.jfa.2004.08.003 · Cited by 10
Kubo-Martin-Schwinger conditions for 4-point Green functions at finite temperature
Carrington, M. E., Defu, H., & Sowiak, J. C. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.62.065003 · Cited by 10
Vortical effects and the critical end point in the linear sigma model coupled to quark
Hernández, L. A., & Zamora, R. (2025) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.111.036003 · Cited by 9
Production rate and ellipticity of lepton pairs from a rotating hot and dense QCD medium
Wei, M., Islam, C. A., & Huang, M. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.054014 · Cited by 9
“On the other hand, the vector-vector CF and its spectral representation are associated with the dilepton production rate (DR) [41, 42].”
BackgroundMethodTransport coefficients in thermal QCD: A probe to the collision integral
Khan, S. A., & Patra, B. K. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.106.094033 · Cited by 9
Finite-size versus finite-temperature effects in the critical long-range O(N) model
Benedetti, D., Gurău, R., Harribey, S., et al. (2024) · Journal of High Energy Physics · doi:10.1007/jhep02(2024)078 · Cited by 9
Large- N pion scattering at finite temperature: The f0(500) and chiral restoration
Cortés, S. T., Nicola, Á. G., & Morales, J. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.93.036001 · Cited by 9
“At this point, it is important to remark that massless pions remain massless at finite temperature [19, 20], unlike many other instances in thermal field theory where elementary massless excitations acquire mass in the thermal bath, like high-T fermions [37], gauge fields [38, 39] including large-Nf analysis [40] or w…”
BackgroundMethodInfluentialPhase diagram for charged scalars in a magnetic field at finite temperature
Ayala, A., Hernández, L. A., López, J., et al. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.036010 · Cited by 9
Hard thermal loops in static external fields
Frenkel, J., Pereira, S. H., & Takahashi, N. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.79.085001 · Cited by 9
Viscous Coefficients of a Hot Pion Gas
Sarkar, S. (2013) · Advances in High Energy Physics · doi:10.1155/2013/627137 · Cited by 9
Haque, N. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.96.014019 · Cited by 9
Cai, B.-J., & Chen, L.-W. (2019) · Physical Review C · doi:10.1103/physrevc.100.024303 · Cited by 9
Thermal free energy of large Nf QED in 2+1 dimensions from weak to strong coupling
Romatschke, P., & Säppi, M. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.073009 · Cited by 9
Catalysis and inverse electric catalysis in a scalar theory
Loewe, M., Valenzuela, D., & Zamora, R. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.036017 · Cited by 9
Chirality dependence in charge and heat transport in thermal QCD
Panday, P., & Patra, B. K. (2022) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.105.116009 · Cited by 9
A GENERAL METHOD FOR CALCULATING PARTITION FUNCTION OF QCD AT FINITE CHEMICAL POTENTIAL
Sun, W., & Zong, H.-S. (2007) · International Journal of Modern Physics A · doi:10.1142/s0217751x07036683 · Cited by 9
Neutrino collective excitations in the standard model at high temperature
Boyanovsky, D. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.033004 · Cited by 9
Fermionic Schwinger-Keldysh propagators from AdS/CFT
Giecold, G. C. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/10/057 · Cited by 9
The thermal gap equation in the massless λϕD4 model
Svaiter, N. F. (2000) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(00)00287-9 · Cited by 9
Quarkonia at finite temperature in relativistic heavy-ion collisions
Saumen Datta, A. (2015) · Pramana · doi:10.1007/s12043-015-0975-y · Cited by 9
Collective excitations of supersymmetric plasma
Czajka, A., & Mrówczyński, S. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.83.045001 · Cited by 9
Electromagnetic properties of a neutrino stream
Nieves, J. F. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.113008 · Cited by 9
Effective actions at finite temperature
Das, A., & Frenkel, J. (2009) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.80.125039 · Cited by 9
Dynamics of symmetry breaking in FRW cosmologies: Emergence of scaling
Boyanovsky, D., & de Vega, H. J. (2000) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.105014 · Cited by 9
“Assuming that the initial temperature Ti >> M(0) we can separate the contribution from the large wave-vectors k ≥ T >> M(0) as in the hard-thermal loop approximation in thermal field theory [20,21].”
Niégawa, A. (1998) · Physics Letters B · doi:10.1016/s0370-2693(97)01299-9 · Cited by 9
Factorization of finite temperature graphs in thermal QED
Brandt, F. T., Das, A., Espinosa, O., Frenkel, J., & Perez, S. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.067702 · Cited by 11
Phase transitions in the early and the present Universe: from the big bang to heavy ion collisions
Boyanovsky, D. (2001) · Springer eBooks · doi:10.1007/978-94-010-0997-3_1 · Cited by 28
Jakovác, A., Patkós, A., Petreczky, P., & Szép, Z. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.61.025006 · Cited by 9
Finite temperature corrections to relic density calculations
Wizansky, T. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.74.065007 · Cited by 8
Effect of the magnetized medium on the decay of neutral scalar bosons
Bandyopadhyay, A., Farias, R. L. S., & Ramos, R. O. (2018) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.98.076007 · Cited by 8
Integrating by parts at finite density
Österman, J., Schicho, P., & Vuorinen, A. (2023) · Journal of High Energy Physics · doi:10.1007/jhep08(2023)212 · Cited by 8
Quantum transport theory for neutrinos with flavor and particle-antiparticle mixing
Kainulainen, K., & Parkkinen, H. (2024) · Journal of High Energy Physics · doi:10.1007/jhep02(2024)217 · Cited by 8
Exploring magnetic fluctuation effects in QED gauge fields: Implications for mass generation
Castaño‐Yepes, J. D., & Muñoz, E. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.056007 · Cited by 8
The complex heavy quarkonium potential with the Gribov–Zwanziger action
Debnath, M., Ghosh, R., & Haque, N. (2024) · The European Physical Journal C · doi:10.1140/epjc/s10052-024-12656-2 · Cited by 8
Viscous leptons in the quark gluon plasma
Müller, B., & Yang, D.-L. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.125010 · Cited by 8
Thermodynamics and Geometry of Strange Quark Matter
Gholizade, H., Altaibayeva, A., & Myrzakulov, R. (2014) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2417-x · Cited by 8
Two sum rules for the thermal n -point functions
Weldon, H. A. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.72.117901 · Cited by 8
Infrared behaviour of high-temperature quantum chromodynamics (QCD)
Abada, A., Bouakaz, K., & Azi, O. (2006) · Physica Scripta · doi:10.1088/0031-8949/74/1/011 · Cited by 8
Electromagnetic signature in holographic plasma with B field
Bu, Y. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.026005 · Cited by 8
Metastable pions in dense media
Loewe, M., Raya, A., & Villavicencio, C. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.096013 · Cited by 8
Ayala, A., Castaño‐Yepes, J. D., Cobos-Martínez, J. J., Hernández-Ortíz, S., Mizher, A. J., & Raya, A. (2016) · International Journal of Modern Physics A · doi:10.1142/s0217751x16501992 · Cited by 8
Mechanisms for the emergence of Gaussian correlations
Gluza, M., Schweigler, T., Tajik, M., Sabino, J., Cataldini, F., Møller, F., Ji, S.-C., Rauer, B., Schmiedmayer, J., Eisert, J., et al. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.3.113 · Cited by 8
“(39) Let us remark that in the case of an interacting system, an approximate Gaussian description at large temperature would include effects of the interaction through the self-energy corrections [52].”
BackgroundThermomagnetic renormalons in a scalar self-interacting λϕ4 theory
Loewe, M., Monje, L., & Zamora, R. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.016020 · Cited by 8
Dilepton production spectrum above Tc with a lattice quark propagator
Kim, T., Asakawa, M., & Kitazawa, M. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.92.114014 · Cited by 8
Dilepton helical production in a vortical quark-gluon plasma
Dong, L., & Lin, S. Y. (2022) · The European Physical Journal A · doi:10.1140/epja/s10050-022-00818-3 · Cited by 8
Fukushima, K. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/7/073031 · Cited by 8
Color path integral equation of state of the quark–gluon plasma at nonzero chemical potential
Filinov, V. S., Bönitz, M., Ivanov, Y. B., et al. (2015) · Plasma Physics and Controlled Fusion · doi:10.1088/0741-3335/57/4/044004 · Cited by 8
Spectral function of the Bloch-Nordsieck model at finite temperature
Jakovác, A., & Mati, P. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.125007 · Cited by 8
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
