Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

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

doi:10.1016/0550-3213(95)00225-H

Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

High Energy Physics - Theory 2016-09-06 v1

Authors: 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.

Keywords

bosonization three dimensions Thirring model Chern-Simons theory non-Abelian

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@article{arxiv.hep-th/9502066,
  title  = {Bosonization of Three Dimensional Non-Abelian Fermion Field Theories},
  author = {Ninoslav Brali{ć} and Eduardo Fradkin and Virginia Manias and Fidel A. Schaposnik and .},
  journal= {arXiv preprint arXiv:hep-th/9502066},
  year   = {2016}
}

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

Bosonization of Three Dimensional Non-Abelian Fermion Field Theories

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