Griffiths Inequalities for some O(n) Classical Spin Models with $n\ge 3$

Baruch College; Peter Orland (The Graduate School; The City University of New York); University Center

arxiv: hep-lat/0205028 · v2 · submitted 2002-05-30 · ✦ hep-lat · cond-mat.stat-mech· hep-th· math-ph· math.MP

Griffiths Inequalities for some O(n) Classical Spin Models with nge 3

Peter Orland (The Graduate School , University Center , Baruch College , The City University of New York) This is my paper

classification ✦ hep-lat cond-mat.stat-mechhep-thmath-phmath.MP

keywords someclassicalgriffithsinequalitiesmodelsspinassumescertain

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The first and second Griffiths inequalities are proved for some classical O($n$)-invariant spin models (including Euclidean quantum field theories) for any $n$. The proof assumes a certain condition on an integral transform of the measure. Some examples are discussed.

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Griffiths Inequalities for some O(n) Classical Spin Models with nge 3

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