Abstract
We prove analyticity of the correlation functions for classical lattice systems, including “continuous-spin” systems, at high temperatures and in strong external fields. For systems whose configuration spaces are homogeneous spaces for compact groups (e.g. Ising, plane rotator and classical Heisenberg models), improved estimates on the region of analyticity are obtained by generalizing an integral equation of Gruber and Merlini. Exponential cluster properties are also obtained for such systems with a finite-range interaction.
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Communicated by G. Gallavotti
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Israel, R.B. High-temperature analyticity in classical lattice systems. Commun.Math. Phys. 50, 245–257 (1976). https://doi.org/10.1007/BF01609405
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DOI: https://doi.org/10.1007/BF01609405