Hard thermal effective actions in the Schwinger formulation

Details Hard thermal effective actions in the Schwinger formulation Hard thermal effective actions in the Schwinger formulation

2006-12-04

arxiv.org/abs/hep-th/0612025v2

Phys.Rev.D75:025021,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.75.025021

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.

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