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arXiv · 1303.6488

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

E. F. Moreno·F. A. Schaposnik
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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.

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E. F. Moreno, F. A. Schaposnik. 2013-03-30. Dualities and bosonization of massless fermions in three dimensional space-time. https://doi.org/10.1103/physrevd.88.025033

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