Abstract
We prove that unbounded spin systems with superstable two-body interactions have generalized susceptibilities which are strictly positive. This result is then used to prove that the decay of the correlations cannot be faster than the decay of the potential if the potential decays with a power law.
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Partially supported by CNR-GNFM and Ministero Pubblica Istruzione.
Partially supported by the Swiss National Foundation for Scientific Research.
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Benfatto, G., Gruber, C. On the susceptibility and clustering properties of unbounded spins. J Stat Phys 37, 237–256 (1984). https://doi.org/10.1007/BF01012913
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DOI: https://doi.org/10.1007/BF01012913