Critical point dominance in one dimension

C. M. Newman

doi:10.1007/BF01208290

Critical point dominance in one dimension

C. M. Newman

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	133-140
Number of pages	8
Journal	Communications In Mathematical Physics
Volume	79
Issue number	1
DOIs	https://doi.org/10.1007/BF01208290
State	Published - Mar 1981

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01208290

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title = "Critical point dominance in one dimension",

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.",

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Critical point dominance in one dimension

Abstract

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