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arXiv · hep-th/9407182

The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory

E. Fradkin·F. A. Schaposnik
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Abstract

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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E. Fradkin, F. A. Schaposnik. 1994-07-27. The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory. https://doi.org/10.1016/0370-2693(94)91374-9

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