### Abstract

A metastable analytic continuation of the Ising model free energy is conjectured to follow from certain analyticity properties of the eigenvalues of the transfer matrix. The resulting description of metastability is applicable to any system whose phase transition is associated with eigenvalue degeneracy. Motivation for the conjectures concerning the Ising model is provided by the study of eigenvalue continuation in several simpler systems.

Original language | English (US) |
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Pages (from-to) | 23-30 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 18 |

Issue number | 1 |

State | Published - Dec 1 1976 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Newman, C. M., & Schulman, L. S. (1976). Metastability and the analytic continuation of eigenvalues.

*Journal of Mathematical Physics*,*18*(1), 23-30.