Equivalent bosonic theory for the massive Thirring model with non-local interaction

Abstract

We study, through path-integral methods, an extension of the massive Thirring model in which the interaction between currents is non-local. By examining the mass-expansion of the partition function we show that this non-local massive Thirring model is equivalent to a certain non-local extension of the sine-Gordon theory. Thus, we establish a non-local generalization of the famous Coleman's equivalence. We also discuss some possible applications of this result in the context of one-dimensional strongly correlated systems and finite-size Quantum Field Theories.

15 pages, latex, no figures

References in corpus (2)

• Vacuum properties of a Non-Local Thirring-Like Model
• Finite size corrections in massive Thirring model

Cited by in corpus (8)

• Friedel oscillations in a Luttinger liquid with long-range interactions
• Bosonic description of a Tomonaga-Luttinger model with impurities
• Functional Bosonization of Non-Relativistic Fermions in $(2+1)$ Dimensions
• Conformal properties of 1D quantum systems with long-range interactions
• Non local Thirring model with spin flipping interactions
• Non local Thirring model with backward and umklapp interactions
• Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
• Field theory approach to one-dimensional electronic systems