The fermion-boson mapping in three-dimensional quantum field theory

Eduardo Fradkin; Fidel A. Schaposnik

doi:10.1016/0370-2693(94)91374-9

The fermion-boson mapping in three-dimensional quantum field theory

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Abstract

We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chem-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.

Original language	English (US)
Pages (from-to)	253-258
Number of pages	6
Journal	Physics Letters B
Volume	338
Issue number	2-3
DOIs	https://doi.org/10.1016/0370-2693(94)91374-9
State	Published - Oct 27 1994

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Nuclear and High Energy Physics

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title = "The fermion-boson mapping in three-dimensional quantum field theory",

abstract = "We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chem-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.",

author = "Eduardo Fradkin and Schaposnik, {Fidel A.}",

note = "Funding Information: This work was supported in part by the National Science Foundation through the grant NSF DMR-91-22385 at the University of Illinois at Urbana Champaign (EF), by CICBA and CONICET (FAS) and by the NSF-CONICET International Cooperation Program through the grant NSF-INT-8902032. EF thanks the Universidad de La Plata for its kind hospitality.",

year = "1994",

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doi = "10.1016/0370-2693(94)91374-9",

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T1 - The fermion-boson mapping in three-dimensional quantum field theory

AU - Fradkin, Eduardo

AU - Schaposnik, Fidel A.

N1 - Funding Information: This work was supported in part by the National Science Foundation through the grant NSF DMR-91-22385 at the University of Illinois at Urbana Champaign (EF), by CICBA and CONICET (FAS) and by the NSF-CONICET International Cooperation Program through the grant NSF-INT-8902032. EF thanks the Universidad de La Plata for its kind hospitality.

PY - 1994/10/27

Y1 - 1994/10/27

N2 - We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chem-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.

AB - We discuss bosonization in three dimensions by establishing a connection between the massive Thirring model and the Maxwell-Chem-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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JO - Physics Letters B

JF - Physics Letters B

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The fermion-boson mapping in three-dimensional quantum field theory

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