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

Abstract

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.

Some minor errors in appendix corrected, other typos fixed. Still latex, 11 pages, no figures