Local Ward Identities and the Decay of Correlations in Ferromagnets
نویسندگان
چکیده
Using local Ward identities we prove a number of correlation inequalities for JV-component, isotropically coupled, pair interacting ferromagnets some for all JV ̂ 2 and some for JV = 2,3,4. These are used to prove a mass gap above the mean field temperature, for all JV^2. For JV = 2,3,4 we prove an upper bound on a critical exponent, and a lower bound on the susceptability which diverges as m->0.
منابع مشابه
Correlation Inequalities and the Decay of Correlations in Ferromagnets*
We prove a variety of new correlation inequalities which bound intermediate distance correlations from below by long distance correlations. Typical is the following which holds for spin 1/2 nearest neighbor Ising ferromagnets:
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