Maximal Abelian gauge and a generalized BRST transformation

Abstract

We apply a generalized Becchi-Rouet-Stora-Tyutin (BRST) formulation to establish a connection between the gauge-fixed $SU(2)$ Yang-Mills (YM) theories formulated in the Lorenz gauge and in the Maximal Abelian (MA) gauge. It is shown that the generating functional corresponding to the Faddeev-Popov (FP) effective action in the MA gauge can be obtained from that in the Lorenz gauge by carrying out an appropriate finite and field-dependent BRST (FFBRST) transformation. In this procedure, the FP effective action in the MA gauge is found from that in the Lorenz gauge by incorporating the contribution of non-trivial Jacobian due to the FFBRST transformation of the path integral measure. The present FFBRST formulation might be useful to see how Abelian dominance in the MA gauge is realized in the Lorenz gauge.

arXiv comment18 Pages, Revtex4, No figures

References in corpus (27)

• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Abelian-Projected Effective Gauge Theory of QCD with Asymptotic Freedom and Quark Confinement
• Off-shell nilpotent finite BRST/anti-BRST transformations
• Application of finite field-dependent BRS transformations to problems of the Coulomb gauge
• Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• The Diagonal Ghost Equation Ward Identity for Yang-Mills Theories in the Maximal Abelian Gauge
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
• Field dependent nilpotent symmetry for gauge theories
• Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
• Finite BRST-antiBRST Transformations in Lagrangian Formalism
• Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics
• String Representation of Field Correlators in the Dual Abelian Higgs Model
• Field-dependent quantum gauge transformation
• Semi-analytical Proof of Abelian Dominance on Confinement in the Maximally Abelian Gauge
• Quantum gauge symmetry from finite field dependent BRST transformations
• N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation
• Field Strength Formulation of SU(2) Yang-Mills Theory in the Maximal Abelian Gauge: Perturbation Theory
• The Most General and Renormalizable Maximal Abelian Gauge
• Monopoles and Gluon Fields in QCD in the Maximally Abelian Gauge
• Quantization of massive Abelian antisymmetric tensor field and linear potential
• Abelian projected SU(2) Yang-Mills action for renormalisation group flows
• A Superspace formulation of Yang-Mills theory on sphere
• Abelian Projection of Massive SU(2) Yang-Mills Theory

Cited by in corpus (9)

• Non-perturbative to perturbative QCD via the FFBRST
• BRST Symmetry for Torus Knot
• On the BRST and finite field dependent BRST of a model where vector and axial vector interaction get mixed up with different weight
• Generalized quantum electrodynamics in the framework of Generalized BRST transformation
• Conformal to Harmonic Gauge for Bosonic Strings
• BRST symmetry as a mechanism for confinement in the inter gauge framework
• Equivalence of two solutions of physical massive gravity
• On BRST-Related Symmetries in the FLPR Model with Gribov Ambiguities
• Deconfinement to confinement by generalizing BRST symmetry on the sphere