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The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

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arxiv hep-th/9407182 v1 pith:6IBC4G6C submitted 1994-07-27 hep-th

E.Fradkin , F.A.Schaposnik This is my paper · ORCID
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keywords fermionbosonizationidentitymodeltheorythirringthreecompared
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We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chern-Simons theory. We show, to lowest order in inverse fermion mass, the identity between the corresponding partition functions; from this, a bosonization identity for the fermion current, valid for length scales long compared with the Compton wavelength of the fermion, is inferred. We present a non-local operator in the Thirring model which exhibits fractional statistics.

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  1. Planar Abelian Duals of Chern-Simons QCD

    hep-th 2025-06 conditional novelty 7.0 of 10

    Proposes a new family of infrared dualities between non-Abelian 3d Chern-Simons QCD and Abelian planar quiver theories, with a bosonization rule trading flavors for quiver columns.

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