Quantum integrability of bosonic Massive Thirring model in continuum

TL;DR

This paper demonstrates the quantum integrability of the bosonic Massive Thirring model in continuum using the quantum inverse scattering method, deriving its S-matrix and analyzing soliton states and their binding energies.

Contribution

It establishes the quantum integrability of the BMT model, derives the two-body S-matrix, and analyzes soliton states and their properties.

Findings

Quantum integrability of BMT model proven.

Two-body S-matrix derived.

Existence of an upper bound on soliton number for certain couplings.

Abstract

By using a variant of the quantum inverse scattering method, commutation relations between all elements of the quantum monodromy matrix of bosonic Massive Thirring (BMT) model are obtained. Using those relations, the quantum integrability of BMT model is established and the S-matrix of two-body scattering between the corresponding quasi particles has been obtained. It is observed that for some special values of the coupling constant, there exists an upper bound on the number of quasi-particles that can form a quantum-soliton state of BMT model. We also calculate the binding energy for a N-soliton state of quantum BMT model.