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

Pages (from-to) | 551-588 |

Number of pages | 38 |

Journal | Journal of Statistical Physics |

Volume | 98 |

Issue number | 3-4 |

State | Published - Feb 2000 |

### Fingerprint

### 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

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*98*(3-4), 551-588.

**Universal amplitude ratios in the critical two-dimensional Ising model on a torus.** / Salas, Jesús; Sokal, Alan D.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 98, no. 3-4, pp. 551-588.

}

TY - JOUR

T1 - Universal amplitude ratios in the critical two-dimensional Ising model on a torus

AU - Salas, Jesús

AU - Sokal, Alan D.

PY - 2000/2

Y1 - 2000/2

N2 - 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* = limL → y ξ(L)/L and the first four magnetization moment ratios V2n = 〈.//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.

AB - 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* = limL → y ξ(L)/L and the first four magnetization moment ratios V2n = 〈.//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.

KW - Cluster algorithm

KW - Conformal field theory

KW - Corrections to scaling

KW - Finite-size scaling

KW - Ising model

KW - Monte Carlo

KW - Swendsen Wang algorithm

KW - Torus

KW - Universal amplitude ratios

UR - http://www.scopus.com/inward/record.url?scp=0034343056&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034343056&partnerID=8YFLogxK

M3 - Article

VL - 98

SP - 551

EP - 588

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -