On the equivalence between topologically and non-topologically massive abelian gauge theories

Abstract

We analyse the equivalence between topologically massive gauge theory (TMGT) and different formulations of non-topologically massive gauge theories (NTMGTs) in the canonical approach. The different NTMGTs studied are Stückelberg formulation of (A) a first order formulation involving one and two form fields, (B) Proca theory, and (C) massive Kalb-Ramond theory. We first quantise these reducible gauge systems by using the phase space extension procedure and using it, identify the phase space variables of NTMGTs which are equivalent to the canonical variables of TMGT and show that under this the Hamiltonian also get mapped. Interestingly it is found that the different NTMGTs are equivalent to different formulations of TMGTs which differ only by a total divergence term. We also provide covariant mappings between the fields in TMGT to NTMGTs at the level of correlation function.

One reference added and a typos corrected. 15 pages, To appear in Mod. Phys. Lett. A

References in corpus (4)

• A Canonical Approach to Duality Transformations
• Confining Strings
• Constrained Dynamics of the Coupled Abelian Two-Form
• Reducible systems and embedding procedures in the canonical formalism

Cited by in corpus (7)

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• Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory
• Dirac's and Generalized Faddeev-Jackiw brackets for Einstein's theory in G $\to 0$ limit
• Canonical analysis of Kalb-Ramond-Proca duality
• Hamiltonian dynamics of 5D Kalb-Ramond theories with a compact dimension
• Mass Generation in Abelian U(1) Gauge Theories: A Rich Network of Dualities
• Dual mapping between the antisymmetric tensor matter field and the Kalb-Ramond field