Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge

Abstract

The Gribov-Zwanziger framework accounting for the existence of Gribov copies is extended to N=1 Super Yang--Mills theories quantized in the Landau gauge. We show that the restriction of the domain of integration in the Euclidean functional integral to the first Gribov horizon can be implemented in a way to recover non-perturbative features of N=1 Super Yang--Mills theories, namely: the existence of the gluino condensate as well as the vanishing of the vacuum energy.

19 pages, no figures

References in corpus (13)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• The Physics of Glueballs
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• Gribov horizon and BRST symmetry: a few remarks
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• A remark on the BRST symmetry in the Gribov-Zwanziger theory
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions

Cited by in corpus (8)

• 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
• On the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge
• Finite BRST-antiBRST Transformations for the Theories with Gauge Group
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• On Consistent Lagrangian Quantization of Yang--Mills Theories without Gribov Copies
• Generalized Faddeev-Popov Method for a Deformed Supersymmetric Yang-Mills Theory
• Supersymmetric generalization of the maximal Abelian gauge