From quantum field theory to hydrodynamics: Transport coefficients and effective kinetic theory

1995/12/09 by Sangyong Jeon, Laurence G. Yaffe · 27 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.53.5799

published as Phys.Rev. D53 (1996) 5799-5809 · 27 pages, revtex format, 5 postscript figures included using epsf.sty

arxiv created 1995/12/09 · openalex publication_date 1996/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The evaluation of hydrodynamic transport coefficients in relativistic field theory, and the emergence of an effective kinetic theory description, is examined. Even in a weakly coupled scalar field theory, interesting subtleties arise at high temperatures where thermal renormalization effects are important. In this domain, a kinetic theory description in terms of the fundamental particles ceases to be valid, but one may derive an effective kinetic theory describing excitations with temperature dependent properties. While the shear viscosity depends on the elastic scattering of typical excitations whose kinetic energies are comparable to the temperature, the bulk viscosity is sensitive to particle nonconserving processes at small energies. As a result, the shear and the bulk viscosities have very different dependence on the interaction strength and temperature, with the bulk viscosity providing an especially sensitive test of the validity of an effective kinetic theory description.

Citations

• Singularities in the physical region

Cited by

• Shear viscous effects on the primordial power spectrum from warm inflation
• Sound waves in strongly coupled non-conformal gauge theory plasma
• Moduli decay in the hot early Universe
• Ward identity and electrical conductivity in hot QED
• Relativistic causal hydrodynamics derived from Boltzmann equation: A novel reduction theoretical approach
• SOUND WAVES IN STRONGLY COUPLED NON-CONFORMAL GAUGE THEORY PLASMA
• Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections
• Exact Conservation Laws of the Gradient Expanded Kadanoff–Baym Equations
• SHEAR VISCOSITY OF YANG–MILLS THEORY IN THE CONFINEMENT PHASE
• Transport coefficients from the two particle irreducible effective action
• Shear Viscosity of Strongly CoupledN<mml:mspace/>=<mml:mspace/>4Supersymmetric Yang-Mills Plasma
• Viscosity, Black Holes, and Quantum Field Theory
• Hydrodynamic fluctuations, long-time tails, and supersymmetry
• Nonuniversal lower bound for the shear viscosity to entropy density ratio
• Transport coefficients and analytic continuation in dual (1+1)-dimensional models at finite temperature
• Advances in perturbative thermal field theory
• Formulating viscous hydrodynamics for large velocity gradients
• Transport coefficients of gluonic fluid
• Quasiparticle equation of state for anisotropic hydrodynamics
• Systematics of high temperature perturbation theory: The two-loop electron self-energy in QED
• Impact of quark quasiparticles on transport coefficients in hot QCD
• Transport properties of cascading gauge theories
• From integrability to conductance, impurity systems
• Dynamics of hard rods with initial domain wall state
• Nonequilibrium perturbation theory for spin-12fields
• All orders Boltzmann collision term from the multiple scattering expansion of the self-energy
• Production of photons in relativistic heavy-ion collisions