A Dynamical System Connected with Inhomogeneous 6-Vertex Model
| dc.creator | Korepanov, I. G. | |
| dc.date | 1994-02-08 | |
| dc.date.accessioned | 2026-07-07T09:14:14Z | |
| dc.date.available | 2026-07-07T09:14:14Z | |
| dc.description | A completely integrable dynamical system in discrete time is studied by means of algebraic geometry. The system is associated with factorization of a linear operator acting in a direct sum of three linear spaces into a product of three operators, each acting nontrivially only in a direct sum of two spaces, and the following reversing of the order of factors. There exists a reduction of the system interpreted as a classical field theory in 2+1-dimensional space-time, the integrals of motion coinciding, in essence, with the statistical sum of an inhomogeneous 6-vertex free-fermion model on the 2-dimensional kagome lattice (here the statistical sum is a function of two parameters). Thus, a connection with the ``local'', or ``generalized'', quantum Yang--Baxter equation is revealed. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9402043 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9402043 | |
| dc.identifier | Zapiski Nauchn. Semin. POMI (S-Petersburg) 215 (1994) 178-196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152601 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | A Dynamical System Connected with Inhomogeneous 6-Vertex Model | |
| dc.type | text |