On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions

Details On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to Fermions

1997-11-25

arxiv.org/abs/hep-th/9711184v1

Phys.Lett. B439 (1998) 137-141

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, revtex

Scientific paper

10.1016/S0370-2693(98)01008-9

We study the exact equivalence between the self-dual model minimally coupled with a Dirac field and the Maxwell-Chern-Simons model with non-minimal magnetic coupling to fermions. We show that the fermion sectors of the models are equivalent only if a Thirring like interaction is included. Using functional methods we verify that, up to renormalizations, the equivalence persists at the quantum level.

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