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GAUGE INVARIANCES IN THE PROCA MODEL

1997/01/31 by A S Vytheeswaran, A. S. VYTHEESWARAN · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1142/s0217751x98000330

published as Int.J.Mod.Phys. A13 (1998) 765-778 · Latex file, 18 pages, Revised version with extra equation and note added in page 4, reference added, minor spelling corrections. To appear in Int J Mod Phys A

arxiv created 1997/06/18 · openalex publication_date 1998/02/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the Abelian Proca model, which is gauge noninvariant 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 Stückelberg 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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