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.

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

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
• Finiteness Properties of the N=4 Super-Yang--Mills Theory in Supersymmetric Gauge

Cited by in corpus (5)

• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• On bounds and boundary conditions in the continuum Landau gauge
• Gribov horizon in Noncommutative QED
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Gauge engineering and propagators