Advances in perturbative thermal field theory

Abstract

The progress of the last decade in perturbative quantum field theory at high temperature and density made possible by the use of effective field theories and hard-thermal/dense-loop resummations in ultrarelativistic gauge theories is reviewed. The relevant methods are discussed in field theoretical models from simple scalar theories to non-Abelian gauge theories including gravity. In the simpler models, the aim is to give a pedagogical account of some of the relevant problems and their resolution, while in the more complicated but also more interesting models such as quantum chromodynamics, a summary of the results obtained so far are given together with references to a few most recent developments and open problems.

84 pages, 18 figues, review article submitted to Reports on Progress in Physics; v2, v3: minor additions and corrections, more references

References in corpus (26)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• The Quark-Gluon Plasma in Equilibrium
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Gapless two-flavor color superconductor
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• The pressure of QCD at finite temperatures and chemical potentials
• Gapless color superconductivity at zero and at finite temperature
• On the Apparent Convergence of Perturbative QCD at High Temperature
• Chromodynamic Weibel instabilities in relativistic nuclear collisions
• The first second of the Universe
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Renormalizability of Phi-derivable approximations in scalar phi^4 theory
• HTL quasiparticle models of deconfined QCD at finite chemical potential
• Gauge dependence identities for color superconducting QCD
• Transport coefficients from the 2PI effective action
• Quasiparticle Description of the QCD Plasma, Comparison with Lattice Results at Finite T and Mu
• Anomalous specific heat in high-density QED and QCD
• Thermodynamics of Large-N_f QCD at Finite Chemical Potential
• Electroweak phase diagram at finite lepton number density
• Comment on and Erratum to "Pressure of Hot QCD at Large N_f"
• Covariant derivative expansion of Yang-Mills effective action at high temperatures
• Dependence of Variational Perturbation Expansions on Strong-Coupling Behavior. Inapplicability of delta-Expansion to Field Theory
• Screening and antiscreening in anisotropic QED and QCD plasmas
• Higher order corrections to Color superconducting gaps

Cited by in corpus (133)

• SU(N) gauge theories at large N
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Interacting quark matter equation of state for compact stars
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Perfect Fluid Theory and its Extensions
• Resummation in Hot Field Theories
• Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop Approximation
• Hard-Loop Effective Action for Anisotropic Plasmas
• Perturbative Thermal QCD: Formalism and Applications
• Three-loop HTL QCD thermodynamics
• Effective Theory of Wilson Lines and Deconfinement
• Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State
• WIMP Dark Matter and the QCD Equation of State
• Holographic quark matter and neutron stars
• Retarded Correlators in Kinetic Theory: Branch Cuts, Poles and Hydrodynamic Onset Transitions
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• NNLO hard-thermal-loop thermodynamics for QCD
• Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data
• Gluon Thermodynamics at Intermediate Coupling
• Renormalized thermodynamics from the 2PI effective action
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Hadronic Modes and Quark Properties in the Quark-Gluon Plasma
• Three-loop HTL gluon thermodynamics at intermediate coupling
• The pressure of deconfined QCD for all temperatures and quark chemical potentials
• Massless Mode and Positivity Violation in Hot QCD
• Pion and Kaon Condensation at Finite Temperature and Density
• Unified weak/strong coupling framework for nuclear matter and neutron stars
• Deconfinement in Matrix Models about the Gross--Witten Point
• Small shear viscosity in the semi quark gluon plasma
• Electric and Magnetic Screening Masses at Finite Temperature from Generalized Polyakov-Line Correlations in Two-flavor Lattice QCD
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• Color Instabilities in the Quark-Gluon Plasma
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions
• Four-loop screened perturbation theory
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• Hybrid protoneutron stars with the Dyson-Schwinger quark model
• Neutron star structure from QCD
• Hot QCD equations of state and relativistic heavy ion collisions
• α_S from $F_{\pi }$ and Renormalization Group Optimized Perturbation
• Phenomenological quark-hadron equations of state with first-order phase transitions for astrophysical applications
• Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda {\varphi }^4$ field theory
• A renormalization group approach for QCD in a strong magnetic field
• Transport in strongly coupled quark matter
• The QCD trace anomaly
• Perturbative QCD at non-zero chemical potential: Comparison with the large-Nf limit and apparent convergence
• Variational approach to Yang-Mills theory at finite temperatures
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Pressure to order $g^8\ast log(g)$ in ${\varphi }^4$-theory at weak coupling
• On high-order perturbative calculations at finite density
• Glueballs and statistical mechanics of the gluon plasma
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Three-loop Phi-derivable Approximation in QED
• Power corrections to the HTL effective Lagrangian of QED
• A brief overview of hard-thermal-loop perturbation theory
• Renormalization Group Optimized Perturbation Theory at Finite Temperatures
• Scale Invariant Resummed Perturbation at Finite Temperatures
• Correlations between perturbation theory and power corrections in QCD at zero and finite temperature
• Three-loop HTL Free Energy for QED
• An introduction to Thermal Field Theory and Some of its Application
• The pressure of QED from the two-loop 2PI effective action
• The Schwinger-Keldysh Coset Construction
• Real time statistical field theory
• Geometrically confined thermal field theory: Finite size corrections and phase transitions
• Electrodynamics at non-zero temperature, chemical potential, and Bose condensate
• Compact Star of Holographic Nuclear Matter and GW170817
• BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
• Non-strange quark stars within resummed QCD
• Magnetic confinement and the Linde problem
• Boltzmann equation for non-equilibrium particles and its application to non-thermal dark matter production
• All order resummed leading and next-to-leading soft modes of dense QCD pressure
• Renormalization group improved pressure for cold and dense QCD
• Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
• Study of the gluon propagator in the large-N_f limit at finite temperature and chemical potential for weak and strong couplings
• Novel collective excitations in a hot scalar field theory
• N=4 Super Yang-Mills Plasma
• A scattering amplitudes approach to hard thermal loops
• Electromagnetic effects in the pion dispersion relation at finite temperature
• Polarization tensor of charged gluons in color magnetic background field at finite temperature
• Bulk and Spectral Observables in Lattice QCD
• Hubble-induced mass from MSSM plasma
• Charged-Particle Decay at Finite Temperature
• The Photon in Dense Nuclear Matter I: Random Phase Approximation
• QCD pressure: renormalization group optimized perturbation theory confronts lattice
• The 2 - particle irreducible effective action in gauge theories
• Global Electroweak Symmetric Vacuum
• Relativistic invariance of the vacuum
• A Bound on Thermal Relativistic Correlators at Large Spacelike Momenta
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• Coulomb gauge Yang-Mills theory at finite temperatures: glueballs versus quasi-gluons
• Collective Excitations of Supersymmetric Plasma
• Thermal free energy of large Nf QED in 2+1 dimensions from weak to strong coupling
• Screening Masses in Gluonic Plasma
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Infrared Behavior of High-Temperature QCD
• Photon Damping in One-Loop HTL Perturbation Theory
• Infrared behavior of the dispersion relations in high-temperature scalar QED
• Renormalization group improved pressure for hot and dense quark matter
• Massive renormalization scheme and perturbation theory at finite temperature
• Semiclassical thermodynamics of scalar fields
• Hard-loop dynamics of non-abelian plasma instabilities
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• Gauge dependence of the fermion quasiparticle poles in hot gauge theories
• A lattice test of strong coupling behaviour in QCD at finite temperature
• Remarks on transient photon production in heavy ion collisions
• Two-particle irreducible effective actions versus resummation: analytic properties and self-consistency
• Glueballs, gluon condensate, and pure glue QCD below T_c
• Renormalization group optimized $\lambda {\varphi }^4$ pressure at next-to-next-to-leading order
• Ultrasoft Quark Damping in Hot QCD
• Hamiltonian formalism for Fermi excitations in a plasma with a non-Abelian interaction
• Spontaneous magnetization of a vacuum in the hot Universe and intergalactic magnetic fields
• Quasi-linear transport approach to equilibration of quark-gluon plasmas
• Linde problem in Yang-Mills theory compactified on ${\mathbb{R}}^2\times {\mathbb{T}}^2$
• Quasiparticle excitations in relativistic quantum field theory
• Universality of Hard-Loop Action
• The magnetic mass of transverse gluon, the B-meson weak decay vertex and the triality symmetry of octonion
• Cold Quark Matter: Renormalization Group Improvement at next-to-next-to leading order
• 5-D thermal field theory, Einstein field equations and spontaneous symmetry breaking
• Equation of State for QCD at finite temperature and density. Resummation versus lattice data
• Quantum theory, thermal gradients and the curved Euclidean space
• Describing phase transitions in field theory by self-similar approximants
• Quantum statistical correlations in thermal field theories: boundary effective theory
• Zero-mode analysis of quantum statistical physics
• Ghosts in Keldysh-Schwinger Formalism
• Pressure of massless hot scalar theory in the boundary effective theory framework
• The Propagator Matrix Reloaded
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Effective potential in the BET formalism
• A massive high density effective theory
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Hard-thermal-loop QED thermodynamics
• Investigation on the contribution of the particle mass to the interaction measure