Off-shell nilpotent finite BRST/anti-BRST transformations

Abstract

We develop the off-shell nilpotent finite field dependent BRST transformations and show that for different choices of the finite field dependent parameter these connect the generating functionals corresponding to different effective theories. We also construct both on-shell and off-shell finite field dependent anti-BRST tranformations for Yang Mills theories and show that these transformations play the similar role in connecting different generating functionals of different effective theories. Analogous to the finite field dependent BRST transformations, the non-trivial Jacobians of the path integral measure which arise due to the finite field dependent anti-BRST transformations are responsible for the new results. We consider several explicit examples in each case to demonstrate the results.

29 Pages, No figs., revtex

References in corpus (9)

• Application of finite field-dependent BRS transformations to problems of the Coulomb gauge
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Generalized BRST transformation in Abelian rank-2 antisymmetric tensor field theory
• A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges
• Relating Green's Functions in Axial and Lorentz Gauges using Finite Field-Dependent BRS Transformations
• Connecting Green's Functions in an Arbitrary Pair of Gauges and an Application to Planar Gauges
• Wilson Loop and the Treatment of Axial Gauge Poles
• Relating the generating functionals in field/antifield formulation through finite field dependent BRST transformation
• Additional considerations in the definition and renormalization of non-covariant gauges

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