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

2014/04/09 by M. A. L. Capri, Diego R. Granado, D. R. Granado +7 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Domain (mathematical analysis) #Euclidean geometry #Gauge (firearms) #Gauge theory #Geometry #Gluino #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Supersymmetry #Yang–Mills existence and mass gap #Yang–Mills theory #hep-th

paper · pdf · doi:10.1140/epjc/s10052-014-2961-9

published as Eur. Phys. J. C (2014) 74:2961 · 19 pages, no figures

arxiv created 2014/04/09 · openalex publication_date 2014/07/01 · arxiv updated 2014/07/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The Gribov–Zwanziger framework accounting for the existence of Gribov copies is extended to \mathcal 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 \mathcal N=1 Super-Yang–Mills theories, namely the existence of the gluino condensate as well as the vanishing of the vacuum energy.

Citations

• Quantization of non-Abelian gauge theories
• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Unquenched Kogut-Susskind quark propagator in lattice Landau gauge QCD
• An all-order proof of the equivalence between Gribovʼs no-pole and Zwanzigerʼs horizon conditions
• Some remarks on the Gribov ambiguity
• Refinement of the Gribov-Zwanziger approach in the Landau gauge: Infrared propagators in harmony with the lattice results
• Local and renormalizable action from the gribov horizon
• The Physics of Glueballs
• Naturalness versus supersymmetric non-renormalization theorems
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Scaling behavior of the quark propagator in full QCD
• The Gribov problem and QCD dynamics
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach

Cited by

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