Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

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.

17 pages; plain latex; figure available upon request at [email protected]

References in corpus (1)

• The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

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