TL;DR
This paper performs a perturbative analysis of the Faddeev-Popov operator spectra in different gauges, revealing how the spectra evolve near the Gribov horizon using a gluon propagator ansatz.
Contribution
It provides a novel perturbative calculation of the Faddeev-Popov spectra in Coulomb and Landau gauges with a non-perturbative gluon propagator input.
Findings
Low-lying eigenvalues are affected as the Gribov horizon is approached
Spectral differences are observed between Coulomb and Landau gauges
Results offer insights into gauge-dependent spectral behavior
Abstract
I present a perturbative calculation of the spectrum of the Faddeev-Popov operator in Coulomb gauge in three dimensions, and Landau gauge in two and three dimensions, with an ansatz for the gluon propagator as the non-perturbative input. The results show how the low-lying Faddeev-Popov eigenvalue spectrum is modified as the first Gribov horizon is approached, and how the spectra can differ in Coulomb and Landau gauges.
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