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

In this paper, we discuss nonperturbative infrared features of Yang-Mills theory in Euclidean space-time dimensions greater than 4 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 nonperturbative 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 [1M. A. L. Capri, M. S. Guimaraes, I. F. Justo, L. F. Palhares, and S. P. Sorella, Phys. Rev. D 90, 085010 (2014).PRVDAQ1550-799810.1103/PhysRevD.90.085010] to generalize the refined Gribov-Zwanziger construction to the matter sector.

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15 pages, no figures. Version to appear in PhysRevD

gauge field theory: Yang-Mills
space-time: Euclidean
gluon: propagator
higher-dimensional
nonperturbative
infrared
dimensional reduction
Gribov problem
Landau gauge

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