## Abstract

A series of inequalities for partition, correlation, and Ursell functions are derived as consequences of the Lee-Yang Theorem. In particular, the n-point Schwinger functions of even φ^{4} models are bounded in terms of the 2-point function as strongly as is the case for Gaussian fields; this strengthens recent results of Glimm and Jaffe and shows that renormalizability of the 2-point function by fourth degree counter-terms implies existence of a φ^{4} field theory with a moment generating function which is entire of exponential order at most two. It is also noted that if any (even) truncated Schwinger function vanishes identically, the resulting field theory is a generalized free field.

Original language | English (US) |
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Pages (from-to) | 1-9 |

Number of pages | 9 |

Journal | Communications In Mathematical Physics |

Volume | 41 |

Issue number | 1 |

DOIs | |

State | Published - Feb 1975 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics