Gauge Invariances in the Proca model

Abstract

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.

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

References in corpus (1)

• Generalised Hamiltonian embedding of the Proca model

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• First-Class Approaches to Massive 2-Forms
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• Improved Gauge-Unfixing Formalism through a Prototypical Second-Class System
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• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• On constrained analysis and diffeomorphism invariance of generalised Proca theories
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• Gauge-invariant extensions of the Proca model in a noncommutative space-time