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

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

2001-02-13

arxiv.org/abs/gr-qc/0102062v2

Phys.Rev. D64 (2001) 024020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages. Latex file. Minor changes, two references added

Scientific paper

10.1103/PhysRevD.64.024020

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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