Continuous Versus Discrete Spins in the Hyperbolic Plane

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We study the O(n) model on graphs quasi-isometric to the hyperbolic plane, with free boundary conditions. We observe that the pair correlation decays exponentially with distance, for all temperatures, if and only if n> 1.

Original languageEnglish
Pages (from-to)11-14
Number of pages4
JournalJournal of Statistical Physics
Issue number1
StatePublished - 1 Jul 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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