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

High Energy Physics - Lattice 2007-05-23 v2 Statistical Mechanics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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

Keywords

Cite

@article{arxiv.hep-lat/0205028,
  title  = {Griffiths Inequalities for some O(n) Classical Spin Models with $n\ge 3$},
  author = {Peter Orland},
  journal= {arXiv preprint arXiv:hep-lat/0205028},
  year   = {2007}
}

Comments

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