On the Quantization of Reducible Gauge Systems

Abstract

Reducible gauge theories with constraints linear in the momenta are quantized. The equivalence of the reduced phase space quantization, Dirac quantization and BRST quantization is established. The ghosts of ghosts are found to play a crucial role in the equivalence proof.

41 pages, Plain Tex file, ULB-PMIF\92-07, GTCRG/92-04

Cited by in corpus (13)

• Hamiltonian BRST deformation of a class of n-dimensional BF-type theories
• Freedman-Townsend vertex from Hamiltonian BRST cohomology
• Hamiltonian cohomological derivation of four-dimensional nonlinear gauge theories
• Jet Bundles in Quantum Field Theory: The BRST-BV method
• Chapline-Manton interaction vertices and Hamiltonian BRST cohomology
• Covariantly Quantized Spinning Particle and its Possible Connection to Non-Commutative Space-Time
• BRST technique for the cosmological density matrix
• First-Class Approaches to Massive 2-Forms
• PT-symmetry breaking hamiltonian interactions in BF models
• Path Integral and Solutions of the Constraint Equations: The Case of Reducible Gauge Theories
• BRST operator quantization of generally covariant gauge systems
• Refined algebraic quantisation in a system with nonconstant gauge invariant structure functions
• BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder