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Heat-kernel expansion and counterterms of the Faddeev-Popov determinant in Coulomb and Landau gauge

arXiv:1001.5414 · doi:10.1140/epjc/s10052-010-1334-2

Abstract

The Faddeev-Popov determinant of Landau gauge in d dimensions and Coulomb gauge in d+1 dimensions is calculated in the heat-kernel expansion up to next-to-leading order. The UV-divergent parts in d=3,4 are isolated and the counterterms required for a non-perturbative treatment of the Faddeev-Popov determinant are determined.

7 pages