Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge

Abstract

The non-perturbative nilpotent exact BRST symmetry of the Gribov-Zwanziger action in the Landau gauge constructed in [ arXiv:1506.06995 [hep-th]] is generalized to the case of Euclidean Yang-Mills theories quantized in the maximal Abelian gauge. The resulting diagonal gluon propagator is evaluating in dimensions D=4,3,2. In D=4,3 a decoupling type behavior is found in the infrared region, while in D=2 a scaling type behavior emerges.

Reviewed version with a new section and new references added

References in corpus (32)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Infrared propagators of Yang-Mills theory from perturbation theory
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• 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
• Massless Mode and Positivity Violation in Hot 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
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• Perfect Abelian dominance of quark confinement in SU(3) QCD
• The effects of Gribov copies in 2D gauge theories
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
• Infrared Maximally Abelian Gauge
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• Nonperturbative contributions to the QCD pressure
• On bounds and boundary conditions in the continuum Landau gauge
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
• Poincare' Symmetry of the GZ-Model
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• On the irrelevance of the Gribov issue in N=4 Super Yang-Mills in the Landau gauge
• Infrared Propagators in MAG and Feynman gauge on the lattice
• Effect of the Gribov horizon on the Polyakov loop and vice versa
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD

Cited by in corpus (18)

• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Study of Gribov Copies in the Yang-Mills ensemble
• Renormalizability of the center-vortex free sector of Yang-Mills theory
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Quantization of Yang-Mills Theories without the Gribov Ambiguity
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG
• A modification of Faddeev-Popov approach free from Gribov ambiguity