On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map

2024/08/25 by Tsuchida, Takayuki · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2408.13913

Abstract

We propose a fully discrete analog of the massive Thirring model in light-cone coordinates by constructing its Lax-pair representation. This Lax-pair representation can also be used to define a new Yang-Baxter map, so we obtain a Yang-Baxter map that admits a continuous limit. We present most of the results for the general case where the dependent variables are matrix-valued.

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

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