Abstract

The embedding procedure of Batalin, Fradkin and Tyutin, which allows us to convert a second-class system into a first-class one, is employed to convert second-class interacting models. Two cases are considered. The first 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 analyzing some tree level probability amplitudes associated to them.

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