On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912254172069888 |
|---|---|
| author | Tsuchida, Takayuki |
| author_facet | Tsuchida, Takayuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13913 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map Tsuchida, Takayuki Exactly Solvable and Integrable Systems Mathematical Physics 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. |
| title | On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2408.13913 |