Gribov copies and the Faddeev–Popov formula in lattice gauge theories
- 1 November 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (11), 3324-3330
- https://doi.org/10.1063/1.526082
Abstract
We present a rigorous, nonperturbative derivation of a lattice version of the Faddeev–Popov integral. This derivation shows that Gribov copies can occur in the lattice theory for certain gauges, but these copies do not affect normalized functional integrals in the lattice theory. Furthermore, taking the formal limit as the lattice spacing tends to zero leads to the usual continuum Faddeev–Popov integral.Keywords
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