Quantization of a generally covariant gauge system with two super Hamiltonian constraints
General Relativity and Quantum Cosmology
2009-11-07 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/0102062,
title = {Quantization of a generally covariant gauge system with two super Hamiltonian constraints},
author = {Rafael Ferraro and Daniel M. Sforza},
journal= {arXiv preprint arXiv:gr-qc/0102062},
year = {2009}
}
Comments
17 pages. Latex file. Minor changes, two references added