The magnetization-energy scaling limit in high dimension

Jo/:el De Coninck, Charles M. Newman

Research output: Contribution to journalArticlepeer-review


In the single-phase region (including the critical point) of a nearest-neighbor Ising ferromagnet with zero external field, the block magnetization and energy within the infinite-volume system are, asymptotically for large block size, independent Gaussian variables when the dimension d exceeds four. For other models, including ones with long-range interactions, a sufficient condition for such triviality of the scaling limit is finiteness of the "bubble quantity".

Original languageEnglish (US)
Pages (from-to)1451-1467
Number of pages17
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Jun 1990


  • /gf field theory
  • Ising model
  • Scaling limit
  • block variables
  • bubble diagram
  • renormalization group
  • triviality
  • upper critical dimension

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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