Tau-function for discrete sine-Gordon equation and quantum R-matrix
| dc.creator | Zabrodin, A. | |
| dc.date | 1998-10-01 | |
| dc.date.accessioned | 2026-07-07T06:17:40Z | |
| dc.date.available | 2026-07-07T06:17:40Z | |
| dc.description | We prove that the tau-function of the integrable discrete sine-Gordon model apart from the "standard" bilinar identities obeys a number of "non-standard" ones. They can be combined into a bivector 3-dimensional difference equation which is shown to contain Hirota's difference analogue of the sine-Gordon equation and both auxiliary linear problems for it. We observe that this equation is most naturally written in terms of the quantum R-matrix for the XXZ spin chain and looks then like a relation of the "vertex-face correspondence" type. | |
| dc.description | 14 pages, latex | |
| dc.identifier | https://arxiv.org/abs/solv-int/9810003 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9810003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94459 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Tau-function for discrete sine-Gordon equation and quantum R-matrix | |
| dc.type | text |