## Abstract

We discuss the euclidean φ_{4}^{4} field theory, and the critical behavior in ferromagnetic systems in four dimensions. It is rigorously shown that there are at most logarithmic corrections to the mean field law in the behavior of the magnetic susceptibility _{X} = ΣS_{2}(0, x). Furthermore, if any such corrections are present in a continuum limit which is used to construct a φ_{4}^{4} field theory, the limiting theory would be non-interacting. Our analysis extends to ferromagnetic systems of variables which belong to the Griffiths-Simon class.

Original language | English (US) |
---|---|

Pages (from-to) | 261-288 |

Number of pages | 28 |

Journal | Nuclear Physics, Section B |

Volume | 225 |

Issue number | 2 |

DOIs | |

State | Published - Oct 31 1983 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint

Dive into the research topics of 'On the renormalized coupling constant and the susceptibility in φ_{4}

^{4}field theory and the Ising model in four dimensions'. Together they form a unique fingerprint.