Current Algebra and Bosonization in Three Dimensions
J.C. Le Guillou, C. N\'u\~nez, F.A. Schaposnik
TL;DR
This paper explores the fermion-boson mapping in three-dimensional space-time using current algebra, providing a path-integral approach to derive bosonization rules that reproduce fermionic current commutators.
Contribution
It introduces a general bosonization recipe in 3D that accurately reproduces fermionic current algebra within a path-integral framework.
Findings
Derivation of bosonization rules in 3D
Reproduction of fermionic current commutators
Path-integral formulation of current algebra
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.
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