Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains
| dc.creator | Derkachov, S. E. | |
| dc.creator | Manashov, A. N. | |
| dc.date | 2008-09-11 | |
| dc.date | 2009-02-12 | |
| dc.date.accessioned | 2026-07-07T12:40:17Z | |
| dc.date.available | 2026-07-07T12:40:17Z | |
| dc.description | We develop an approach for constructing the Baxter Q-operators for generic sl(N) spin chains. The key element of our approach is the possibility to represent a solution of the the Yang Baxter equation in the factorized form. We prove that such a representation holds for a generic sl(N) invariant R-operator and find the explicit expression for the factorizing operators. Taking trace of monodromy matrices constructed of the factorizing operators one defines a family of commuting (Baxter) operators on the quantum space of the model. We show that a generic transfer matrix factorizes into the product of N Baxter Q-operators and discuss an application of this representation for a derivation of functional relations for transfer matrices. | |
| dc.description | 41 pages, 5 figures, published version | |
| dc.identifier | https://arxiv.org/abs/0809.2050 | |
| dc.identifier | http://arxiv.org/abs/0809.2050 | |
| dc.identifier | J.Phys.A42:075204,2009 | |
| dc.identifier | doi:10.1088/1751-8113/42/7/075204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219399 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains | |
| dc.type | text |