BRST operator quantization of generally covariant gauge systems

Journal Article · Tue Apr 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.4785· OSTI ID:554243

Ferraro, R ^[1]; Sforza, D M ^[1]

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1. Instituto de Astronomia y Fisica del Espacio, Casilla de Correo 67 - Sucursal 28, 1428 Buenos Aires (Argentina)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 554243
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HAMILTONIANS
HERMITIAN OPERATORS
POTENTIALS
QUANTIZATION
QUANTUM GRAVITY
SCALING LAWS
SUPERSYMMETRY
UNIFIED GAUGE MODELS