### 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 φ^{4} 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) |
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Pages (from-to) | 133-140 |

Number of pages | 8 |

Journal | Communications In Mathematical Physics |

Volume | 79 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1 1981 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics