Critical point dominance in one dimension

C. M. Newman

Research output: Contribution to journalArticlepeer-review


The renormalized, dimensionless 4-point coupling constant of scalar one dimensional field theories is maximized uniquely by the "critical point theories" (obtainable as the scaling limit of φ4 models). The renormalized coupling constant of certain scalar one dimensional lattice field theories is maximized uniquely (for fixed correlation length) by the corresponding spin-1/2 model.

Original languageEnglish (US)
Pages (from-to)133-140
Number of pages8
JournalCommunications In Mathematical Physics
Issue number1
StatePublished - Mar 1981

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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