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

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.

References in corpus (8)

• Form factors in finite volume II:disconnected terms and finite temperature correlators
• Form factors in finite volume I: form factor bootstrap and truncated conformal space
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Mean values of local operators in highly excited Bethe states
• HHL correlators, orbit averaging and form factors
• Sine-Gordon form factors in finite volume
• Diagonal multi-soliton matrix elements in finite volume
• Exact finite volume expectation values of local operators in excited states

Cited by in corpus (4)

• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• Exact finite volume expectation values of $\bar{\Psi }\Psi$ in the Massive Thirring model from light-cone lattice correlators
• On the finite volume expectation values of local operators in the sine-Gordon model
• Norm of Bethe-wave functions in the continuum limit