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arXiv · hep-th/9603192

BRST operator quantization of generally covariant gauge systems

Rafael Ferraro·Daniel M. Sforza
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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.

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Rafael Ferraro, Daniel M. Sforza. 1997-03-12. BRST operator quantization of generally covariant gauge systems. https://doi.org/10.1103/physrevd.55.4785

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