Critical point dominance in one dimension

Research output: Contribution to journalArticle

Abstract

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
Volume79
Issue number1
DOIs
StatePublished - Mar 1981

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One Dimension
Field Theory
Critical point
critical point
Scalar
scalars
Lattice Theory
Critical Point Theory
Scaling Limit
Correlation Length
Dimensionless
scaling
Model

ASJC Scopus subject areas

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

Cite this

Critical point dominance in one dimension. / Newman, C. M.

In: Communications in Mathematical Physics, Vol. 79, No. 1, 03.1981, p. 133-140.

Research output: Contribution to journalArticle

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