BFT Embedding of Interacting Second-Class Systems

Abstract

The embedding procedure of Batalin, Fradkin, and Tyutin, which allows to convert a second-class system into a first-class one, is employed to convert second-class interacting models. Two cases are considered. One, is the Self-Dual model minimally coupled to a Dirac fermion field. The other, the Self-Dual model minimally coupled to a charged scalar field. In both cases, they are found equivalent interacting Maxwell-Chern-Simons type field theories. These equivalences are pushed beyond the formal level, by analysing some tree level probability amplitudes associated to the models.