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

We study, through path-integral methods, an extension of the massive Thirring model in which the interaction between currents is nonlocal. 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. Pacs: 11.10.Lm 05.30.Fk ——————————– a Depto. de F́ısica. Universidad Nacional de La Plata. CC 67, 1900 La Plata, Argentina. E-Mail: [email protected] b Department of Physics, Hangzhou University, Hangzhou, 310028, P. R. China.