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

作者:Moreno E F*; Schaposnik F A
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013, 88(2): 025033.
DOI:10.1103/PhysRevD.88.025033

摘要

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.