Thirring Model with Jump Defect

TL;DR

This paper extends the classical affine Toda models to include jump defects in the fermionic Thirring model, constructing a Lagrangian and conserved quantities indicating potential integrability.

Contribution

It introduces a novel formulation of the Thirring model with jump defects and derives conserved quantities, advancing understanding of defect integrability in fermionic models.

Findings

Constructed Lagrangian for Thirring model with jump defect

Derived conserved modified momentum and energy expressions

Indicated potential integrability of the defect model

Abstract

The purpose of our work is to extend the formulation of classical affine Toda Models in the presence of jump defects to pure fermionic Thirring model. As a first attempt we construct the Lagrangian of the Grassmanian Thirring model with jump defect (of Backlund type) and present its conserved modified momentum and energy expressions giving a first indication of its integrability.