THE FADDEEV-POPOV TRICK IN THE PRESENCE OF BOUNDARIES

We formulate criteria of applicability of the Faddeev-Popov trick to g auge theories on manifolds with boundaries. With the example of Euclid ean Maxwell theory we demonstrate that the path integral is indeed gau ge independent when these criteria are satisfied, and depends on a gau ge choice whenever these criteria are violated. (C) 1998 Published by Elsevier Science B.V.