Lattice approach to finite volume form-factors of the Massive Thirring (Sine-Gordon) model

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Abstract

In this paper we demonstrate, that the light-cone lattice approach for the Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering method, admits an appropriate framework for computing the finite volume form-factors of local operators of the model. In this work we compute the finite volume diagonal matrix elements of the U(1) conserved current in the pure soliton sector of the theory. Based on the systematic large volume expansion of our results, we conjecture an exact expression for the finite volume expectation values of local operators in pure soliton states. At large volume in leading order these expectation values have the same form as in purely elastic scattering theories, but exponentially small corrections differ from previous Thermodynamic Bethe Ansatz conjectures of purely elastic scattering theories.

Original languageEnglish
Article number59
JournalJournal of High Energy Physics
Volume2017
Issue number8
DOIs
Publication statusPublished - Aug 1 2017

Keywords

  • Bethe Ansatz
  • Integrable Field Theories
  • Lattice Integrable Models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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