On three dimensional bosonization

Abstract

We discuss Abelian and non-Abelian three dimensional bosonization within the path-integral framework. We present a systematic approach leading to the construction of the bosonic action which, together with the bosonization recipe for fermion currents, describes the original fermion system in terms of vector bosons.

15 pages, LaTex

References in corpus (7)

• On bosonization in $3$ dimensions
• A comment on bosonization in $d\ge 2$ dimensions
• Duality and Bosonisation in Arbitrary Dimensions
• Non Abelian Bosonization in Two and Three Dimensions
• Current Algebra and Bosonization in Three Dimensions
• Non abelian bosonisation in three dimensional field theory
• BRST Gauge Fixing and Regularization

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