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arXiv · 1404.7163

On the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge

M. A. L. Capri·M. S. Guimaraes·I. F. Justo·L. F. Palhares·S. P. Sorella
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Abstract

The issue of the Gribov copies is discussed in Euclidean N=4 Super Yang-Mills theory quantized in the Landau gauge. As a consequence of the absence of a renormalization group invariant scale, it turns out that it is not possible to attach a dynamical meaning to the Gribov parameter. This implies that, in N=4 Super Yang-Mills, there is no need for the restriction of the domain of integration in the functional integral to the Gribov region, and no non-perturbative dynamical scale is generated. This result is in agreement with the absence of a confining phase observed from the Coulomb behaviour of the Wilson loop evaluated through the AdS/CFT correspondence. The non-renormalization theorem of the gluon-ghost-antighost vertex of the Landau gauge is also explicitly checked till three loops.

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M. A. L. Capri, M. S. Guimaraes, I. F. Justo, L. F. Palhares, S. P. Sorella. 2014-06-23. On the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge. https://doi.org/10.1016/j.physletb.2014.06.035

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