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

Jesús Salas; Alan D. Sokal

doi:10.1023/a:1018611122166

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

Jesús Salas, Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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
DOIs	https://doi.org/10.1023/a:1018611122166
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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title = "Universal amplitude ratios in the critical two-dimensional Ising model on a torus",

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* = 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.",

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

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year = "2000",

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AU - Salas, Jesús

AU - Sokal, Alan D.

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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

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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ER -

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

Abstract

Keywords

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