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

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

1999-07-13

arxiv.org/abs/hep-th/9907092v1

Nucl.Phys.B562:412-430,1999

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex 2e

Scientific paper

10.1016/S0550-3213(99)00555-6

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.

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