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

E. MORENO; F.A. SCHAPOSNIK

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Lugar: New York; Año: 2013 vol. 68 p. 25033 - 25041

0556-2821

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, within a quadratic approximation in the fields, to three different but equivalent bosonic theories: a nonlocal Maxwell?Chern-Simons?type theory, a nonlocal 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.