Gauge Invariances in the Proca model

Details Gauge Invariances in the Proca model Gauge Invariances in the Proca model

1997-01-13

arxiv.org/abs/hep-th/9701050v2

Int.J.Mod.Phys. A13 (1998) 765-778

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 18 pages, Revised version with extra equation and note added in page 4, reference added, minor spelling correction

Scientific paper

10.1142/S0217751X98000330

We show that the abelian Proca model, which is gauge non-invariant with second class constraints can be converted into gauge theories with first class constraints. The method used, which we call Gauge Unfixing employs a projection operator defined in the original phase space. This operator can be constructed in more than one way, and so we get more than one gauge theory. Two such gauge theories are the Stuckelberg theory, and the theory of Maxwell field interacting with an antisymmetric tensor field. We also show that the application of the projection operator does not affect the Lorentz invariance of this model.

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