The quantum sinh-Gordon model in noncommutative (1+1) dimensions

TL;DR

This paper demonstrates the integrability of the quantum sinh-Gordon model on noncommutative (1+1) dimensional space using twisted commutation relations and provides the exact two-particle scattering matrix, revealing a strong-weak duality similar to the commutative case.

Contribution

It introduces a method to establish integrability of the quantum sinh-Gordon model on noncommutative space and computes its exact scattering matrix.

Findings

Model is integrable on noncommutative space

Exact two-particle scattering matrix obtained

Model exhibits strong-weak duality

Abstract

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative counterpart.