The pressure of QED from the two-loop 2PI effective action

Abstract

We compute the pressure of hot quantum electrodynamics from the two-loop truncation of the 2PI effective action. Since the 2PI resummation guarantees gauge-fixing independence only up to the order of the truncation, our result for the pressure presents a gauge dependent contribution of O(e^4). We numerically characterize the credibility of this gauge-dependent calculation and find that the uncertainty due to gauge parameter dependence is under control for xi<1. Our calculation also suggests that the choice of Landau gauge may minimize gauge-dependent effects.

15 latex pages with 3 figures

References in corpus (24)

• Introduction to Nonequilibrium Quantum Field Theory
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Approximately self-consistent resummations for the thermodynamics of the quark-gluon plasma. I. Entropy and density
• Infrared behaviour and fixed points in Landau gauge QCD
• The entropy of the QCD plasma
• Advances in perturbative thermal field theory
• Nonperturbative renormalization for 2PI effective action techniques
• Resummation in Hot Field Theories
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• On the Apparent Convergence of Perturbative QCD at High Temperature
• Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram
• Self-consistent hard-thermal-loop thermodynamics for the quark-gluon plasma
• Renormalization of Φ-derivable approximations in scalar field theories
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Gauge-fixing dependence of Phi-derivable approximations
• Renormalized thermodynamics from the 2PI effective action
• Renormalizability of Phi-derivable approximations in scalar phi^4 theory
• Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit
• 2PI effective action for gauge theories: Renormalization
• Three-loop Phi-derivable Approximation in QED
• Ward Identities for the 2PI effective action in QED
• Nonperturbative renormalization of Phi-derivable approximations in theories with fermions
• Selfconsistent approximations, symmetries and choice of representation
• The thermodynamics of the quark-gluon plasma: Self-consistent resummations vs. lattice data

Cited by in corpus (18)

• Low-cost fermions in classical field simulations
• Four-loop screened perturbation theory
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• 2PI functional techniques for gauge theories: QED
• The 2PI effective action at four loop order in ${\phi }^4$ theory
• Three-loop HTL Free Energy for QED
• Collisional strong-field QED kinetic equations from first principles
• Ward Identities for the 2PI effective action in QED
• Effective convergence of the 2PI-1/N expansion for nonequilibrium quantum fields
• Counterterm resummation for 2PI-approximation in constant background
• Renormalization of O(N) model in 1/N expansion in auxiliary field formalism
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• Resummations in the Bloch-Nordsieck model
• Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results
• Renormalisation of out-of-equilibrium quantum fields
• Quantum statistical correlations in thermal field theories: boundary effective theory
• 2PI functional techniques for abelian gauge theories
• nPI Resummation in 3D SU(N) Higgs Theory