BRST operator quantization of generally covariant gauge systems

Abstract

The BRST generator is realized as a Hermitian nilpotent operator for a finite-dimensional gauge system featuring a quadratic super-Hamiltonian and linear supermomentum constraints. As a result, the emerging ordering for the Hamiltonian constraint is not trivial, because the potential must enter the kinetic term in order to obtain a quantization invariant under scaling. Namely, BRST quantization does not lead to the curvature term used in the literature as a means to get that invariance. The inclusion of the potential in the kinetic term, far from being unnatural, is beautifully justified in light of the Jacobi's principle.

16 pages (LaTeX manuscript). Revised version (minor changes) to appear in Physical Review D

References in corpus (3)

• Canonical Quantum Gravity
• On the Quantization of Reducible Gauge Systems
• Extrinsic Time in Quantum Cosmology

Cited by in corpus (2)

• Quantization of generally covariant systems with extrinsic time
• Quantization of a generally covariant gauge system with two super Hamiltonian constraints