Dualities and bosonization of massless fermions in three dimensional space-time

Abstract

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular, we show that a theory of massless fermions is dual to three different, but equivalent bosonic theories which are quadratic in the bosonic fields: a non-local Maxwell- Chern-Simons-type theory, a non-local self-dual-type vector theory, and a local free massless bosonic theory. The equivalence is proven at the level of current correlation functions and current algebra analysis.

12 pages

References in corpus (4)

• Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions
• Comments on Chern-Simons Contact Terms in Three Dimensions
• Lifshitz fermionic theories with z=2 anisotropic scaling
• Large N and Bosonization in Three Dimensions

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• A $d=3$ dimensional model with two $U(1)$ gauge fields coupled via matter fields and BF interaction
• Dualities in 3D Large $N$ Vector Models
• Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor