2007/02/12 by Roan, Shi-shyr
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.cond-mat/0702271
We provide two methods of producing the Q-operator of XXZ spin chain of higher spin, one for Nth root-of-unity q with odd N and another for a general q, as the generalization of those known in the six-vertex model. In the root-of-unity case, we discuss the functional relations involving the constructed Q-operator for the symmetry study of the theory. The Q-operator of XXZ chain of higher spin for a generic q is constructed by extending Baxter's argument in spin-1/2 case for the six-vertex Q-operator.