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arXiv 2008.090312020-08-20hep-th

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

备注：: 16 pages, 1 figure
发表信息：: Phys. Rev. D 102, 074029 (2020)
DOI：: 10.1103/PhysRevD.102.074029

英文摘要：

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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