The Faddeev-Popov trick in the presence of boundaries

Details The Faddeev-Popov trick in the presence of boundaries The Faddeev-Popov trick in the presence of boundaries

1997-09-25

arxiv.org/abs/hep-th/9709182v1

Phys.Lett. B421 (1998) 93-98

Physics

High Energy Physics

High Energy Physics - Theory

LaTEX, 10pp

Scientific paper

10.1016/S0370-2693(98)00008-2

We formulate criteria of applicability of the Faddeev-Popov trick to gauge theories on manifolds with boundaries. With the example of Euclidean Maxwell theory we demonstrate that the path integral is indeed gauge independent when these criteria are satisfied, and depends on a gauge choice whenever these criteria are violated. In the latter case gauge dependent boundary conditions are required for a self-consistent formulation of the path intgral.

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