Communications in Mathematical Physics

, Volume 40, Issue 2, pp 83–95

Analyticity and uniqueness of the invariant equilibrium states for general spin 1/2 classical lattice systems

  • C. Gruber
  • A. Hintermann
  • D. Merlini
Article

DOI: 10.1007/BF01609393

Cite this article as:
Gruber, C., Hintermann, A. & Merlini, D. Commun.Math. Phys. (1975) 40: 83. doi:10.1007/BF01609393

Abstract

Asano-Ruelle-Slawny method is generalized to discuss analyticity and uniqueness of the correlation functions in terms of the group structure associated with any lattice systems. The use of Poisson formula for abelian groups gives a simple method to obtain explicit domains where the above properties are verified.

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • C. Gruber
    • 1
  • A. Hintermann
    • 1
  • D. Merlini
    • 1
  1. 1.Laboratoire de Physique ThéoriqueEcole Polytechnique Fédérale LausanneLausanneSwitzerland

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