Duality and bosonization in Schwinger-Keldysh formulation

R.E. GAMBOA SARAVÍ; C.M. NAÓN; F.A. SCHAPOSNIK

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

IOP PUBLISHING LTD

Lugar: Londres; Año: 2014 vol. P090 p. 1 - 21

1742-5468

We present a path-integral bosonization approach for systems outof equilibrium based on a duality transformation of the original Dirac fermion theory combined with the Schwinger?Keldysh time closed contour technique, to handle the non-equilibrium situation. The duality approach to bosonization that we present is valid for D 2 space?time dimensions leading for D = 2 to exact results. In this last case we present the bosonization rules for fermion currents, calculate current?current correlation functions and establish the connection between the fermionic and bosonic distribution functions in a generic, nonequilibriumsituation.