Communications in Mathematical Physics

, Volume 34, Issue 4, pp 271–296

Analyticity and uniqueness for spin 1/2 classical ferromagnetic lattice systems at low temperatures

  • J. Slawny

DOI: 10.1007/BF01646474

Cite this article as:
Slawny, J. Commun.Math. Phys. (1973) 34: 271. doi:10.1007/BF01646474


Analyticity and uniqueness of correlation functions is investigated for a number of systems by application of Ruelle's theorem on zeros of Asano contracted polynomials to the partition function. To answer the question when the partition function of a system is the Asano contraction of those of subsystems the groups appearing in the low and high temperature expansions are employed.

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • J. Slawny
    • 1
  1. 1.Centre de Physique Théorique, CNRSMarseille

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