Dirac prescription from BRST symmetry in FRW space-time

Abstract

A procedure to define the BRST charge from the Noether one in extended phase space is given. It is outlined how this prescription can be applied to a Friedmann-Robertson-Walker space-time with a differential gauge condition and it allows us to reproduce the results of [19]. Then we discuss the cohomological classes associated with functions in extended phase space having ghost number one and we recover the frozen formalism for classical observables. Finally, we consider the quantization of BRST-closed states and we define a scalar product which implements the superHamiltonian constraint.

11 pages, typos fixed

References in corpus (3)

• BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
• Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space
• Generalized spherically symmetric gravitational model: Hamiltonian dynamics in extended phase space and BRST charge

Cited by in corpus (8)

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• Quantum Symmetries and Conserved Charges of the Cosmological Friedmann-Robertson-Walker Model
• A superspace description of Friedmann-Robertson-Walker models
• Generalized spherically symmetric gravitational model: Hamiltonian dynamics in extended phase space and BRST charge
• Illusiveness of the problem of time
• (Anti-)BRST Symmetries in FLRW Model: Supervariable Approach
• Quantization of Yang-Mills Theory in de Sitter Spacetime
• Scalar Product for a Version of Minisuperspace Model with Grassmann Variables