, Volume 78, Issue 1, pp 117-135

Low temperature expansion for continuous-spin Ising models

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Abstract

We consider general ferromagnetic spin systems with finite range interactions and an even single-spin distribution of compact support on IR. It is shown under mild assumptions on the single-spin distribution that a low temperature expansion, in powers ofT, for the free energy and the correlation functions is asymptotic. We also prove exponential clustering in the pure phases and analyticity of the free energy and of the correlation functions in the reciprocal temperature β for Re β large.

Supported in part by N.S.F. Grant No. Phy. 78-15920 and MCS 78-01885
On leave from: Départment de Physique Théorique, Université de Louvin, Belgium
Supported in part by the Swiss National Foundation for Scientific Research
Communicated by A. Jaffe