Derkachov, Sergey E. and Manashov, Alexander N. (2009) Factorization of R-matrix and Baxter Q-operators for generic sl(N) spin chains. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42 (7): 075204. ISSN 1751-8113,
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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 of representing a solution of 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CONFORMAL FIELD-THEORY; INTEGRABLE STRUCTURE; BETHE-ANSATZ; REPRESENTATION-THEORY; FUNCTIONAL-EQUATIONS; QUANTUM; LATTICE; MODELS; SEPARATION; VARIABLES; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Oct 2020 09:36 |
| Last Modified: | 05 Oct 2020 09:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29464 |
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