Generalized BRST Quantization and Massive Vector Fields

Abstract

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent but which satisfies Q=δ+δ^{\dagger}, δ^2=0, and by means of which physical states are obtained from the projection δ|ph>=δ^{\dagger}|ph>=0. A simple model is analyzed in detail from which some basic properties and necessary ingredients are extracted. The method is then applied to a massive vector field. An effective theory is derived which is close to the one of the Stueckelberg model. However, since the scalar field here is introduced in order to have inner product solutions, a massive Yang-Mills theory with polynomial interaction terms might be possible to construct.

19 pages,Latexfile

References in corpus (1)

• Time evolution in general gauge theories defined on inner product spaces

Cited by in corpus (5)

• Nonperturbative light-front Hamiltonian methods
• Projection operator approach to general constrained systems
• BRST-anti-BRST covariant theory for the second class constrained systems. A general method and examples
• Pauli-Villars regularization of non-Abelian gauge theories
• Quantum fluids in the Kaehler parametrization