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Born-Infeld Chern-Simons Theory: Hamiltonian Embedding, Duality and Bosonization | E. Harikumar
; Avinash Khare
; M. Sivakumar
; Prasanta K. Tripathy
; | Date: |
10 Apr 2001 | Journal: | Nucl.Phys. B618 (2001) 570-588 | Subject: | hep-th | Affiliation: | Uni. Hyderabad), Avinash Khare (IOP, Bhubaneswar), M. Sivakumar (Uni. Hyderabad) and Prasanta K. Tripathy (IOP, Bhubaneswar | Abstract: | In this paper we study in detail the equivalence of the recently introduced Born-Infeld self dual model to the Abelian Born-Infeld-Chern-Simons model in 2+1 dimensions. We first apply the improved Batalin, Fradkin and Tyutin scheme, to embed the Born-Infeld Self dual model to a gauge system and show that the embedded model is equivalent to Abelian Born-Infeld-Chern-Simons theory. Next, using Buscher’s duality procedure, we demonstrate this equivalence in a covariant Lagrangian formulation and also derive the mapping between the n-point correlators of the (dual) field strength in Born-Infeld Chern-Simons theory and of basic field in Born-Infeld Self dual model. Using this equivalence, the bosonization of a massive Dirac theory with a non-polynomial Thirring type current-current coupling, to leading order in (inverse) fermion mass is also discussed. We also re-derive it using a master Lagrangian. Finally, the operator equivalence between the fermionic current and (dual) field strength of Born-Infeld Chern-Simons theory is deduced at the level of correlators and using this the current-current commutators are obtained. | Source: | arXiv, hep-th/0104087 | Services: | Forum | Review | PDF | Favorites |
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