### Abstract

Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x^{*} = lim_{L → y} ξ(L)/L and the first four magnetization moment ratios V_{2n} = 〈.//^{2n}〉/〈.//^{2}〉^{n}. As a corollary we get the first four renormalized 2n-point coupling constants for the massless theory on a symmetric torus. G*_{2n}. We confirm these predictions by a high-precision Monte Carlo simulation.

Original language | English (US) |
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Pages (from-to) | 551-588 |

Number of pages | 38 |

Journal | Journal of Statistical Physics |

Volume | 98 |

Issue number | 3-4 |

DOIs | |

State | Published - Feb 2000 |

### Keywords

- Cluster algorithm
- Conformal field theory
- Corrections to scaling
- Finite-size scaling
- Ising model
- Monte Carlo
- Swendsen Wang algorithm
- Torus
- Universal amplitude ratios

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Salas, J., & Sokal, A. D. (2000). Universal amplitude ratios in the critical two-dimensional Ising model on a torus.

*Journal of Statistical Physics*,*98*(3-4), 551-588. https://doi.org/10.1023/a:1018611122166