BRST operator quantization of generally covariant gauge systems

RAFAEL FERRARO; DANIEL M. SFORZA

PHYSICAL REVIEW D - PARTICLE AND FILDS

The American Physical Society

Año: 1997 vol. 55 p. 4785 - 4790

0556-2821

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.