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Quantization of a generally covariant gauge system with two super Hamiltonian constraints

Rafael Ferraro·Daniel M. Sforza
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Abstract

The Becci-Rouet-Stora-Tyutin (BRST) operator quantization of a finite-dimensional gauge system featuring two quadratic super Hamiltonian and m linear supermomentum constraints is studied as a model for quantizing generally covariant gauge theories. The proposed model ``completely'' mimics the constraint algebra of General Relativity. The Dirac constraint operators are identified by realizing the BRST generator of the system as a Hermitian nilpotent operator, and a physical inner product is introduced to complete a consistent quantization procedure.

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Rafael Ferraro, Daniel M. Sforza. 2001-07-10. Quantization of a generally covariant gauge system with two super Hamiltonian constraints. https://doi.org/10.1103/physrevd.64.024020

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