Finite BRST transformation and constrained systems

Abstract

We establish the connection between the generating functional for the first-class theories and the generating functional for the second-class theories using the finite field dependent BRST (FFBRST) transformation. We show this connection with the help of explicit calculations in two different models. The generating functional of Proca model is obtained from the generating functional of Stueckelberg theory for massive spin 1 vector field using FFBRST transformation. In the other example we relate the generating functionals for gauge invariant and gauge variant theory for self-dual chiral boson.

19 pages, Revtex, No figure, Published in Annals of Physics

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• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• ABJM theory in Batalin-Vilkovisky formulation
• The noncovariant gauges in 3-form theories
• Generalized BRST symmetry for arbitrary spin conformal field theory
• Field-dependent quantum gauge transformation
• IR finite graviton propagators in de Sitter spacetime
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• Generalized supersymmetry and sigma models
• Comments on interactions in the SUSY models
• The conformal gauge to the derivative gauge for worldsheet gravity
• BRST Quantization of Unimodular Gravity
• Gaugeon formalism in the framework of generalized BRST symmetry
• Green's Functions in Perturbative Quantum Gravity
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• On the BRST and finite field dependent BRST of a model where vector and axial vector interaction get mixed up with different weight
• Finite Field-dependent Symmetry in Thirring Model
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• Finite BRST Mapping in Higher Derivative Models
• Soft-Collinear Effective Theory: BRST Formulation
• Quantum gauge symmetry of reducible gauge theory
• Causality in String Field Theory
• Quantization of Yang-Mills Theory in de Sitter Spacetime