The massless thermal field and the thermal fermion bosonization in two dimensions

Abstract

We come back to the issue of bosonization of fermions in two spacetime dimension and give a new costruction in the steady state case where left and right moving particles can coexist at two different temperatures. A crucial role in our construction is played by translation invariant infrared states and the corresponding field operators which are naturally linked to the infrared behaviour of the correlation functions. We present two applications: a simple new derivation in the free relativistic case of a formula by Bernard and Doyon and a full operator solution of the massless Thirring model in the steady state case where the left and right movers have two distinct temperatures.

References in corpus (10)

• Conformal field theory out of equilibrium: a review
• Energy flow in non-equilibrium conformal field theory
• Non-equilibrium steady-states in conformal field theory
• Bosonization at Finite Temperature and Anyon Condensation
• Luttinger Liquid in Non-equilibrium Steady State
• Exact Effective Action for (1+1 Dimensional) Fermions in an Abelian Background at Finite Temperature
• Conformal- and Thermodynamic Properties of a Family of Thirring-like Models
• Two-Dimensional Thermofield Bosonization
• Non-Equilibrium Thermodynamics and Conformal Field Theory
• Anyon Quantum Transport and Noise away from Equilibrium