Generalized BRST Quantization and Massive Vector Fields

Details Generalized BRST Quantization and Massive Vector Fields Generalized BRST Quantization and Massive Vector Fields

1997-06-06

arxiv.org/abs/hep-th/9706044v1

Int.J.Mod.Phys. A13 (1998) 3101-3120

Physics

High Energy Physics

High Energy Physics - Theory

19 pages,Latexfile

Scientific paper

10.1142/S0217751X98001530

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=\delta+\delta^{\dagger}, \delta^2=0, and by means of which physical states are obtained from the projection \delta|ph>=\delta^{\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.

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