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Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

Ninoslav Brali{ć}·Eduardo Fradkin·Virginia Manias·Fidel A. Schaposnik·.
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Abstract

We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free massive fermions bosonization leads, at low energies, to the pure $SU(N)$ (level $k=1$) Chern-Simons theory.

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Ninoslav Brali{ć}, Eduardo Fradkin, Virginia Manias, Fidel A. Schaposnik, .. 1995-02-11. Bosonization of Three Dimensional Non-Abelian Fermion Field Theories. https://doi.org/10.1016/0550-3213(95)00225-h

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