Gribov-Zwanziger action in SU(2) Maximally Abelian Gauge with U(1)${}_3$ Landau Gauge

Abstract

We construct the local Gribov-Zwanziger action for SU(2) Euclidean Yang-Mills theories in the maximally Abelian (MA) gauge with U(1)${}_3$ Landau gauge fixing based on the Zwanziger's work in the Landau gauge. By the restriction of the functional integral region to the Gribov region in the MA gauge, we give the nonlocal action. We localize the action with new fields and obtain the action with the shift of the new scalar fields, which has the terms, corresponding to the localized action of the horizon function in the MA gauge. The diagonal gluon propagator in the MA gauge at tree level behaves like the propagator from Gribov-Zwanziger action in the Landau gauge and shows the violation of Kallen-Lehmann representation.

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Cited by in corpus (13)

• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• On bounds and boundary conditions in the continuum Landau gauge
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
• A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• On Composite fields approach to Gribov copies elimination in Yang-Mills theories
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Finite BRST-antiBRST Transformations for the Theories with Gauge Group
• Two-dimensional gluon propagators in maximally Abelian gauge in SU(2) Lattice QCD
• On Consistent Lagrangian Quantization of Yang--Mills Theories without Gribov Copies