Inverse scattering approach for massive Thirring models with integrable type-II defects

TL;DR

This paper develops an inverse scattering method to analyze the integrability of massive Thirring models with defects, deriving conserved quantities and defect contributions for physical observables.

Contribution

It introduces a general approach to compute generating functions of conserved quantities in integrable models with defects, specifically applied to the massive Thirring models.

Findings

Derived defect contributions for occupation number, energy, and momentum.

Established a general method for integrable field equations with spectral problems.

Confirmed the integrability of Thirring models with type-II defects.

Abstract

We discuss the integrability of the Bosonic and Grassmannian massive Thirring models in the presence of defects through the inverse scattering approach. We present a general method to compute the generating functions of modified conserved quantities for any integrable field equation associated to the m x m spectral linear problem. We apply the method to derive in particular the defect contributions for the number of occupation, energy and momentum of the massive Thirring models.