Heat-kernel expansion and counterterms of the Faddeev-Popov determinant in Coulomb and Landau gauge
Hugo Reinhardt, Davide R. Campagnari
TL;DR
This paper computes the heat-kernel expansion of the Faddeev-Popov determinant in Coulomb and Landau gauges, identifying divergences and counterterms necessary for non-perturbative quantum gauge theories.
Contribution
It provides the first detailed calculation of the heat-kernel expansion and counterterms for the Faddeev-Popov determinant in these gauges up to next-to-leading order.
Findings
UV divergences in 3 and 4 dimensions are isolated.
Counterterms for non-perturbative treatments are determined.
Heat-kernel expansion is extended to Coulomb and Landau gauges.
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.
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