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arXiv · 2008.09031

Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis

O. C. Junqueira·I. F. Justo·D. S. Montes·A. D. Pereira·R. F. Sobreiro
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Abstract

In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a transverse background gauge field. The one-loop effective action is explicitly computed, and the behavior of the gauge and ghost fields propagators are carefully investigated. At one-loop and for generic transverse background configurations the effective action is found to be \textit{not} background invariant, as expected, due to a non-vanishing background contribution. The gauge field propagator has the same form as in the case {where the} background is a trivial field, $i.e.$ with complex conjugate poles, which are modified by the corresponding gap equation. The ghost-anti-ghost propagator still displays its enhanced $\sim p^{-4}$ behavior.

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O. C. Junqueira, I. F. Justo, D. S. Montes, A. D. Pereira, R. F. Sobreiro. 2020-08-20. Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis. https://doi.org/10.1103/physrevd.102.074029

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