Communications in Mathematical Physics

, Volume 34, Issue 4, pp 271-296

First online:

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

  • J. SlawnyAffiliated withCentre de Physique Théorique, CNRS

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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.