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Analyticity in some models of quantum statistical mechanics

  • Huzihiro Araki
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 257)

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.

The same method also gives an exact decay rate for the exponential clustering of the correlation functions of the latter model as a function of parameters.

Keywords

Correlation Function Ising Model Critical Line Trace Class Dimensional Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Huzihiro Araki
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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