Eliminating Infrared Divergences in the Pressure

Abstract

The pressure of a system in thermal equilibrium is expressed as a mass integral over a sum of thermal propagators. This allows a Dyson resummation and is used to demonstrate that potential infrared divergences are rendered harmless.

6 pages plain tex, including figures embedded using epsf

References in corpus (9)

• Exact evolution equation for the effective potential
• The Effective Potential and First-Order Phase Transitions: Beyond Leading Order
• The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case
• Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories
• On the Convergence of Perturbative QCD at High Temperature
• Thermalisation of Longitudinal Gluons
• On the Infrared Behavior of the Pressure in Thermal Field Theories

Cited by in corpus (19)

• Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Foam Diagram Summation at Finite Temperature
• Non-perturbative thermal flows and resummations
• Finite temperature nonlocal effective action for quantum fields in curved space
• High Temperature Resummation in the Linear $\delta$-Expansion
• Finite Temperature Nonlocal Effective Action for Scalar Fields
• Vacuum Structure of Twisted Scalar Field Theories on M^{D-1} \otimes S^1
• Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature
• Critical Exponents and Critical Amplitude Ratio of The Scalar Model from Finite-temperature Field Theory
• Critical Behavior of phi^4-Theory from the Thermal Renormalization Group
• Renormalisation of the Nonperturbative Thermal Pressure
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• Hydrostatic Pressure of the O(N) ${\varphi }^4$ Theory in the Large N Limit
• The Thermal Renormalization Group for Fermions, Universality, and the Chiral Phase-Transition
• Thermodynamic pressure for massless QCD and the trace anomaly
• Infrared behaviour of the pressure in gϕ^3 theory in 6 dimensions
• The Auxiliary Mass Method beyond the Local Potential Approximation
• Infrared Behavior of the Pressure in $g{\varphi }^3$ Theory Reexamined