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

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

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arxiv hep-lat/0205028 v2 pith:IZITBJEG submitted 2002-05-30 hep-lat cond-mat.stat-mechhep-thmath-phmath.MP

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

classification hep-latcond-mat.stat-mechhep-thmath-phmath.MP

keywords someclassicalgriffithsinequalitiesmodelsspinassumescertain

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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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Confinement for all couplings in a ${\mathbb Z}_{2}$ lattice gauge theory
math-ph 2019-08 reject novelty 6.0 of 10

The paper proves, up to a faulty positivity claim, an area-law decay for Wilson loops in a Z2 lattice gauge theory with continuous link variables, for all couplings.

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