Wednesday, March 27, 2013

1303.6488 (E. F. Moreno et al.)

Dualities and bosonization of massles fermions in three dimensional
space-time
   [PDF]

E. F. Moreno, F. A. Schaposnik
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.
View original: http://arxiv.org/abs/1303.6488

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