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

Takayuki Tsuchida

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arXiv · 2408.13913

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

Takayuki Tsuchida

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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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Takayuki Tsuchida. 2024-08-25. On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map. https://arxiv.org/abs/2408.13913

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