On an integrable discretization of the massive Thirring model in non-characteristic coordinates

TL;DR

This paper introduces an integrable semi-discretization of the massive Thirring model in non-characteristic coordinates, providing a Lax-pair representation and explicit N-soliton solutions, advancing the understanding of discrete integrable systems.

Contribution

It presents a novel integrable semi-discretization of the massive Thirring model with a Lax-pair formulation and explicit soliton solutions, bridging continuous and discrete models.

Findings

Lax-pair representation for the semi-discretization

Explicit N-soliton solutions derived

Integrability preserved in the discretization

Abstract

We propose the Lax-pair representation for an integrable semi-discretization (discretization of the spatial variable) of the massive Thirring model in non-characteristic (in between light-cone and laboratory) coordinates and present its $N$-soliton solution.