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arXiv:hep-th/0112057 · Nuclear Physics B

Non-local Thirring model with backward and umklapp interactions

Victoria Fernández, Anı́bal Iucci, Carlos Naón

Published Aug 1, 2002• 3 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(02)00399-1

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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 well known 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.