English

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

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9706159,
  title  = {Equivalent bosonic theory for the massive Thirring model with non-local interaction},
  author = {Kang Li and Carlos Naon},
  journal= {arXiv preprint arXiv:hep-th/9706159},
  year   = {2008}
}

Comments

15 pages, latex, no figures

R2 v1 2026-07-22T16:05:41.553Z