Transport coefficients from the 2PI effective action

Abstract

We show that the lowest nontrivial truncation of the two-particle irreducible (2PI) effective action correctly determines transport coefficients in a weak coupling or 1/N expansion at leading (logarithmic) order in several relativistic field theories. In particular, we consider a single real scalar field with cubic and quartic interactions in the loop expansion, the O(N) model in the 2PI-1/N expansion, and QED with a single and many fermion fields. Therefore, these truncations will provide a correct description, to leading (logarithmic) order, of the long time behavior of these systems, i.e. the approach to equilibrium. This supports the promising results obtained for the dynamics of quantum fields out of equilibrium using 2PI effective action techniques.

5 pages, explanation in introduction expanded, summary added; to appear in PRD

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• Shear Viscosity in the O(N) Model
• Kadanoff-Baym Equations with Non-Gaussian Initial Conditions: The Equilibrium Limit
• Comparison of Boltzmann Equations with Quantum Dynamics for Scalar Fields
• Shear Viscosity of a Hot Pion Gas
• Leading Order Calculation of Electric Conductivity in Hot Quantum Electrodynamics from Diagrammatic Methods
• Perturbative Non-Equilibrium Thermal Field Theory
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• Minimum of $\eta /s$ and the phase transition of the Linear Sigma Model in the large-N limit
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• Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium
• Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion
• QED Electrical Conductivity using the 2PI Effective Action
• Ultrasoft Fermionic Modes at High Temperature
• Progress in nonequilibrium quantum field theory III
• Three-loop Phi-derivable Approximation in QED
• Looking for defects in the 2PI correlator
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
• Broken phase scalar effective potential and Phi-derivable approximations
• Ward Identities for the 2PI effective action in QED
• Out-of-equilibrium electromagnetic radiation
• Nonperturbative renormalization of Phi-derivable approximations in theories with fermions
• Topological defect formation from 2PI effective action techniques
• Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields
• Transport coefficients of O(N) scalar field theories close to the critical point
• Next-to-Leading Order Shear Viscosity in lambda phi^4 Theory
• Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
• Ultra-soft fermionic excitation at finite chemical potential
• Polarization tensor of charged gluons in color magnetic background field at finite temperature
• Ultrasoft fermion mode and off-diagonal Boltzmann equation in quark-gluon plasma at high temperature
• Spectral representation of the shear viscosity for local scalar QFTs at finite temperature
• A critical look at the role of the bare parameters in the renormalization of Phi-derivable approximations
• On the contribution of plasminos to the shear viscosity of a hot and dense Yukawa-Fermi gas
• The 2PI finite temperature effective potential of the O(N) linear sigma model in 1+1 dimensions, at next-to-leading order in 1/N
• Off-diagonal kinetic theory in ultrasoft momentum region at high temperature
• Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
• Non-Equilibrium 2PI Potential and Its Possible Application to Evaluation of Bulk Viscosity
• 2PI Effective Action and Evolution Equations of N = 4 super Yang-Mills