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

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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2010-07, Vol.68 (1-2), p.299-303
Main Authors: Reinhardt, Hugo, Campagnari, Davide R.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Exact sciences and technology
Hadrons
Heavy Ions
Kernels
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
The physics of elementary particles and fields
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Summary: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-010-1334-2