Faddeev-Popov spectra at the Gribov horizon

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.

12 pages, 8 figures; v2: reference added

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Cited by in corpus (9)

• The Coulomb gauge ghost Dyson-Schwinger equation
• Symmetry breaking, conformal geometry and gauge invariance
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• More on the properties of the first Gribov region in Landau gauge
• The Gribov horizon and the one-loop color-Coulomb potential
• Numerical test of the Gribov-Zwanziger scenario in Landau gauge
• General Formalism For the BRST Symmetry
• Chromo-field flux sheets as confining gauge field configurations in the SU(N) Euclidean Yang-Mills theory in the Landau gauge