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

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.

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

References in corpus (3)

• SL(2,R) model with two Hamiltonian constraints
• Quantization of generally covariant systems with extrinsic time
• Operator ordering for generally covariant systems