Topologically Massive Abelian Gauge Theory From BFT Hamiltonian Embedding of A First-order Theory

Abstract

We start with a new first order gauge non-invariant formulation of massive spin-one theory and map it to a reducible gauge theory viz; abelian $B\wedge F$ theory by the Hamiltonian embedding procedure of Batalin, Fradkin and Tyutin(BFT). This equivalence is shown from the equations of motion of the embedded Hamiltonian. We also demonstrate that the original gauge non-invariant model and the topologically massive gauge theory can both be obtained by suitable choice of gauges, from the phase space partition function of the emebedded Hamiltonian, proving their equivalence. Comparison of the first order formulation with the other known massive spin-one theories is also discussed.

arXiv comment18 pages, final version to appear in Nuclear Physics B

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• On the dual equivalence of the self-dual and topologically massive p-form models
• The BFT Method With Chain Structure
• Topologically massive gauge theories from first order theories in arbitrary dimensions
• Bosonization and Duality in Arbitrary Dimensions: New Results
• Symplectic Embedding of a Massive Vector-Tensor Theory with Topological Coupling
• Duality in nonlinear B$\wedge$F models: equivalence between self-dual and topologically massive Born-Infeld B$\wedge$F models
• The spin jumping in the context of a QCD effective model
• Topologically Massive Gauge Theories and their Dual Factorised Gauge Invariant Formulation
• Improved BFT embedding having chain-structure
• A note on higher rank descriptions of massless and massive spin-1 particles
• Mass generation for abelian spin-1 particles via a symmetric tensor
• Hamiltonian vs Lagrangian Embedding of a Massive Spin-one Theory Involving 2-form Field