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arXiv · 1608.06979

Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory

M. S. Guimaraes·A. D. Pereira·S. P. Sorella
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Abstract

In this paper, we discuss non-perturbative infrared features of Yang-Mills theory in Euclidean space-time dimensions greater than four in the Landau gauge and within the Refined Gribov-Zwanziger framework, which enables us to take into account the existence of gauge copies by restricting the domain of integration in the path integral to the Gribov region. Evidences for a decoupling/massive solution for the gluon propagator in higher dimensions are provided. This behavior is strengthened the bigger the dimension is. Further, we show that, by a dimensional reduction of the Refined Gribov-Zwanziger action from five to four dimensions, a non-perturbative coupling between the inverse of the Faddeev-Popov operator and the scalar field corresponding to the fifth component of the gauge field naturally arises, being in agreement with the recently proposed mechanism \cite{Capri:2014bsa} to generalize the Refined Gribov-Zwanziger construction to the matter sector.

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M. S. Guimaraes, A. D. Pereira, S. P. Sorella. 2016-08-24. Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory. https://doi.org/10.1103/physrevd.94.116011

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