Field-dependent symmetries in Friedmann-Robertson-Walker models

Abstract

We consider effective actions of the cosmological Friedmann-Robertson-Walker (FRW) models and discuss their fermionic rigid BRST invariance. Further, we demonstrate the finite field-dependent BRST transformations as a limiting case of continuous field-dependent BRST transformations described in terms of continuous parameter $\kappa$. The Jacobian under such finite field-dependent BRST transformations is computed explicitly, which amounts an extra piece in the effective action within functional integral. We show that for a particular choice of the parameter the finite field-dependent BRST transformation maps the generating functional for FRW models from one gauge to another.

7 pages, No figure, Accepted in Annals of Physics (Journal version)

References in corpus (15)

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• Off-shell nilpotent finite BRST/anti-BRST transformations
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• The noncovariant gauges in 3-form theories
• Correct Treatment of 1/(η\cdot k)^p Singularities in the Axial Gauge Propagator
• Generalized supersymmetry and sigma models
• Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space

Cited by in corpus (15)

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• BRST Quantization of Unimodular Gravity
• Green's Functions in Perturbative Quantum Gravity
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Constraints on Operator Ordering from Third Quantization
• Finite Field-dependent Symmetry in Thirring Model
• Emergence of Lowenstein-Zimmermann mass terms for QED${}_3$
• Quantum Symmetries and Conserved Charges of the Cosmological Friedmann-Robertson-Walker Model
• Finite BRST Mapping in Higher Derivative Models
• Super-group field cosmology in Batalin-Vilkovisky formulation
• Soft-Collinear Effective Theory: BRST Formulation
• Quantum gauge symmetry of reducible gauge theory
• Construction of a Massive ABJM Theory Without Higgs Superfields
• Causality in String Field Theory
• Scalar Product for a Version of Minisuperspace Model with Grassmann Variables