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.

arXiv comment19 pages, no figures

References in corpus (33)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Naturalness Versus Supersymmetric Non-renormalization Theorems
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• The Physics of Glueballs
• Analytic properties of the Landau gauge gluon and quark propagators
• The Gribov problem and QCD dynamics
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The dynamical origin of the refinement of the Gribov-Zwanziger theory
• Scaling behavior of quark propagator in full QCD
• 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
• Gribov horizon and i-particles: about a toy model and the construction of physical operators
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• The Gribov horizon and spontaneous BRST symmetry breaking
• Stabilizing perturbative Yang-Mills thermodynamics with Gribov quantization
• Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD
• 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
• Precision Calculations in Supersymmetric Theories
• Gluon confinement, i-particles and BRST soft breaking
• Renormalizability of a quark-gluon model with soft BRST breaking in the infrared region
• Casimir energy in the Gribov-Zwanziger approach to QCD
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• Padé approximation and glueball mass estimates in 3d and 4d with N_c = 2,3 colors
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• The low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
• Renormalization aspects of N=1 Super Yang-Mills theory in the Wess-Zumino gauge

Cited by in corpus (15)

• 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
• Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
• 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 the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge
• On general ultraviolet properties of a class of confining propagators
• Finite BRST-antiBRST Transformations for the Theories with Gauge Group
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• 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
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• Supersymmetric generalization of the maximal Abelian gauge