Scattering matrix for current-current deformations of the (2,2s+1) RSOS models

TL;DR

This paper analyzes deformations of (2,2s+1) RSOS lattice models using Bethe ansatz, deriving explicit expressions for energies and scattering matrices, and confirming their relation to TT perturbations in integrable quantum field theories.

Contribution

It provides explicit solutions for deformed RSOS models and links lattice deformations to TT perturbations in quantum field theory.

Findings

Explicit ground state energy expressions derived.

Scattering matrices for breather-like excitations obtained.

Confirmation of lattice TT deformation correspondence.

Abstract

We study (2,2s+1) RSOS lattice models deformed by the current-current operator. Solving the deformed Bethe ansatz equations for the model in the regime III we find explicit expressions for the ground state energy as well as for the energy, the momentum and the scattering matrix of the breather-like excitations. In the scaling limit we get an additional confirmation to the proposal that the bi-local deformations are a lattice analogue of the TT perturbations of integrable massive QFTs proposed by Smirnov and Zamolodchikov.