aqora

Baxter Q-operators of the XXZ chain and R-matrix factorization

Sergey E. Derkachov, David Roudolph Karakhanyan, R. Kirschner

arXiv:hep-th/0511024Nuclear Physics BJan 19, 200620 citations

Rational Yang-Baxterization and factorized S-matrix

Mo‐Lin Ge, Kang Xue

Physics Letters AJan 1, 19913 citations

Bethe-ansatz, Yang-Baxter equation and factorization of S-matrix.

R. S. Banerjee

FizBJan 1, 19940 citations

Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for genericsl(N) spin chains

Sergey É Derkachov, Alexander N Manashov

We develop an approach for constructing the Baxter -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 -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 -operators and discuss an application of this representation for a derivation of functional relations for transfer matrices.We develop an approach for constructing the Baxter -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 -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 -operators and discuss an application of this representation for a derivation of functional relations for transfer matrices.

arXiv:0809.2050Journal of Physics A Mathematical and TheoreticalJan 21, 200925 citations

The universalR-matrix and factorization of the L-operators related to the Baxter Q-operators

S. Khoroshkin, Zengo Tsuboi

We consider the 'universal monodromy operators' for the Baxter Q-operators. They are given as images of the universal R -matrix in oscillator representation. We find related universal factorization formulas in the case.

arXiv:1401.0474Journal of Physics A Mathematical and TheoreticalApr 25, 201417 citations

Form-factors in the Baxter–Bazhanov–Stroganov model I: norms and matrix elements

G von Gehlen, N. Z. Iorgov, Stanislav Zdislavovich Pakuliak +2 more

We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N=2 we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.

arXiv:0708.4342Journal of Physics A Mathematical and TheoreticalNov 6, 200734 citations

Factorization of the R-matrix and Baxter’s Q-operator

Related papers

Factorization of the R-matrix and Baxter’s Q-operator

Related papers