, Volume 34, Issue 4, pp 271-296

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

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Abstract

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.

On leave of absence from Department of Physics and Astronomy, Tel Aviv University Ramat-Aviv, Israel.