Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages; plain latex; figure available upon request at eduardo@paul.physics.uiuc.edu

Scientific paper

10.1016/0550-3213(95)00225-H

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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