### 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) |
---|---|

Pages (from-to) | 133-140 |

Number of pages | 8 |

Journal | Communications in Mathematical Physics |

Volume | 79 |

Issue number | 1 |

DOIs | |

State | Published - Mar 1981 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 79, no. 1, pp. 133-140. https://doi.org/10.1007/BF01208290

}

TY - JOUR

T1 - Critical point dominance in one dimension

AU - Newman, C. M.

PY - 1981/3

Y1 - 1981/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34250246315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250246315&partnerID=8YFLogxK

U2 - 10.1007/BF01208290

DO - 10.1007/BF01208290

M3 - Article

AN - SCOPUS:34250246315

VL - 79

SP - 133

EP - 140

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -