Hard thermal effective actions in the Schwinger formulation

Abstract

We derive the properties of hard thermal effective actions in gauge theories from the point of view of Schwinger's proper time formulation. This analysis is simplified by introducing a set of generalized energy and momenta which are conserved and are non-local in general. These constants of motion, which embody energy-momentum exchanges between the fields and the particles along their trajectories, can be related to a class of gauge invariant or covariant potentials in the hard thermal regime. We show that in this regime the generalized energy, which is non-local in general, generates the relevant non-local behavior of hard thermal effective actions which become local only in the static limit.

6 pages, references added, version to appear in Physical Review D

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Cited by in corpus (6)

• Finite Temperature Effective Actions
• Effective actions at finite temperature
• Thermal effective action for 1+1 dimensional massive QED
• Hard thermal effective action in QCD through the thermal operator
• Thermal Operator and Dispersion Relation in QED at Finite Temperature and Chemical Potential
• Proper time method in de Sitter space