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

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.

arXiv comment10 pages, no figures; v2: discussion on the ghost propagator added, matches version to appear in PLB

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Cited by in corpus (11)

• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• On bounds and boundary conditions in the continuum Landau gauge
• On general ultraviolet properties of a class of confining propagators
• Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
• Gribov horizon in Noncommutative QED
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Gauge engineering and propagators
• Dyson-Schwinger equations and $\mathcal{N}=4$ SYM in Landau gauge