Griffiths inequalities for the Gaussian spin glass

Satoshi Morita, Hidetoshi Nishimori, Pierluigi Contucci

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of the system. These inequalities imply that correlation functions are non-negative and monotonie along the Nishimori line in the phase diagram. From this result, the existence of thermodynamic limit for correlation functions and pressure is proved under free and fixed boundary conditions. Relations between the location of multicritical points are also derived for different lattices.

Original languageEnglish
Pages (from-to)L203-L209
JournalJournal of Physics A: Mathematical and General
Issue number18
Publication statusPublished - 2004 May 7
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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