Connecting Green's Functions in an Arbitrary Pair of Gauges and an Application to Planar Gauges

Abstract

We establish a finite field-dependent BRS transformation that connects the Yang-Mills path-integrals with Faddeev-Popov effective actions for an arbitrary pair of gauges F and F'. We establish a result that relates an arbitrary Green's function [either a primary one or one that of an operator] in an arbitrary gauge F' to those in gauge F that are compatible to the ones in gauge F by its construction [in that the construction preserves expectation values of gauge-invariant observables]. We establish parallel results also for the planar gauge-Lorentz gauge connection.

19 pages

References in corpus (3)

• Correct Treatment of 1/(η\cdot k)^p Singularities in the Axial Gauge Propagator
• A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges
• Wilson Loop and the Treatment of Axial Gauge Poles

Cited by in corpus (12)

• 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
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
• Finite Nilpotent BRST transformations in Hamiltonian formulation
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Relating the generating functionals in field/antifield formulation through finite field dependent BRST transformation
• BRST Symmetry for Torus Knot
• Conformal to Harmonic Gauge for Bosonic Strings
• Absence of Nonlocal Counter-terms in the Gauge Boson Propagator in Axial -type Gauges
• Equivalence of two solutions of physical massive gravity