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

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

1997-06-23

arxiv.org/abs/hep-th/9706159v1

J.Phys.A31:7929-7937,1998

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, no figures

Scientific paper

10.1088/0305-4470/31/39/009

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.

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