Current Algebra and Bosonization in Three Dimensions

Abstract

We consider the fermion-boson mapping in three dimensional space-time, in the Abelian case, from the current algebra point of view. We show that in a path-integral framework one can derive a general bosonization recipe leading, in the bosonic language, to the correct equal-time current commutators of the original free fermionic theory.

Latex File, 19 pages

Cited by in corpus (16)

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• Three dimensional fermionic determinants, Chern-Simons and nonlinear field redefinitions
• Dualities and bosonization of massless fermions in three dimensional space-time
• Duality between 3D Massive Thirring and Maxwell Chern-Simons models from 2D bosonization
• Bosonization and Duality in Arbitrary Dimensions: New Results
• Effective Action for QED with Fermion Self-Interaction in D=2 and D=3 Dimensions
• Quadratic Effective Action for QED in D=2,3 Dimensions
• Protection against Spin Gap in 2-d Insulating Antiferromagnets with a Chern-Simons Term
• Decoupling Transformations in Path Integral Bosonization
• Loop Corrections and Bosonization Formulae
• Perturbative bosonization from two-point correlation functions
• Supersymmetry and Bosonization in Three Dimensions
• Current Algebra in the Path Integral framework