Proof of the triviality of ·d4 field theory and some mean-field features of Ising models for d>4

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It is rigorously proved that the continuum limits of Euclidean ·d4 lattice fields are free fields in d>4. An exact geometric characterization of criticality in Ising models is introduced, and used to prove other mean-field features for d>4 and hyperscaling in d=2.

Original languageEnglish (US)
Pages (from-to)1-4
Number of pages4
JournalPhysical review letters
Issue number1
StatePublished - Jan 1 1981

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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