2PI effective action and gauge invariance problems

Details 2PI effective action and gauge invariance problems 2PI effective action and gauge invariance problems

2003-09-08

arxiv.org/abs/hep-ph/0309084v2

Eur.Phys.J.C42:253-259,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, version accepted for publication in Eur. Phys. Jour. C

Scientific paper

10.1140/epjc/s2005-02277-x

The problem of maintaining gauge invariance when truncating the two particle irreducible (2PI) effective action has been studied recently by several authors. Here we give a simple and very general derivation of the gauge dependence identities for the off-shell 2PI effective action. We consider the case where the gauge is fixed by an arbitrary function of the quantum gauge field, subject only to the restriction that the Faddeev-Popov matrix is invertable. We also study the background field gauge. We address the role that these identies play in solving gauge invariance problems associated with physical quantities calculated using a truncated on-shell 2PI effective action.

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