Articulo
Dualities and bosonization of massless fermions in three-dimensional space-time
Registro en:
issn:1550-7998
issn:1550-2368
Autor
Moreno, Enrique Francisco
Schaposnik, Fidel Arturo
Institución
Resumen
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. Instituto de Física La Plata