Abstract

Application of C*—algebra approach to proof of analyticity of correlation functions for some models of quantum statistical mechanics is reviewed. Analyticity of correlation functions of ground states with respect to the asymmetry parameter λ and the external magnetic field strength λ for the XY-model on one dimensional lattice and that of equilibrium states with respect to the inverse temperature β and the coupling constants J1 and J2 for the Ising model on two dimensional lattice are obtained for all real values of parameters except the singularity at the critical lines.

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