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The Faddeev-Popov trick in the presence of boundaries

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arxiv hep-th/9709182 v1 pith:RPQUJYD4 submitted 1997-09-25 hep-th

D.V. Vassilevich This is my paper · ORCID
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keywords gaugecriteriaboundariesfaddeev-popovpathtrickapplicabilityboundary
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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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  1. Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy

    hep-th 2024-12 conditional novelty 6.0 of 10

    DEM boundary conditions on two parallel plates yield the same Casimir energy as perfectly conducting plates, after restoring BRST invariance with boundary ghost fields.

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