Further comments on the background field method and gauge invariant effective actions

Abstract

The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a functional whose Legendre transform restricted to the physical shell generates the matrix elements of the connected $S$-matrix. We resume and clarify a former argument due to Abbott, Grisaru and Schaefer based on the gauge-artifact nature of the background fields and on the identification of the gauge invariant effective action with the generator of the proper, background field, vertices.

21 pages, Latex 2e

References in corpus (1)

• The Abelian Antighost Equation for The Standard Model in the `t Hooft-Background Gauge

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