Quantum Group U q ( sl (2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain

Symmetry Integrability and Geometry-Methods and Applications

article

Tetsuo DeguchiJun Sato¹ 

[1] Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University 2-1-1 Ohtsuka

关键词: quantum group;    integrable higher-spin XXZ chain;    correlation function;    multiple integral;    fusion method;    Bethe ansatz;    one-point function;   

DOI  :  10.3842/SIGMA.2011.056

来源: National Academy of Science of Ukraine

【 摘 要 】

We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 case. We review the multiple-integral representations of correlation functions for the integrable higher-spin XXZ chains derived in a region of the massless regime including the anti-ferromagnetic point. Here we make use of the gauge transformations between the symmetric and asymmetric R -matrices, which correspond to the principal and homogeneous gradings, respectively, and we send the inhomogeneous parameters to the set of complete 2 s -strings. We also give a numerical support for the analytical expression of the one-point functions in the spin-1 case.

【 授权许可】

Unknown