Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus

Details Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus

1999-04-02

arxiv.org/abs/cond-mat/9904038v2

J.Statist.Phys. 98 (2000) 551-588

Physics

Condensed Matter

Statistical Mechanics

36 pages (LaTeX with style files included). Paper drastically shortened: discussion of corrections to scaling and SW dynamics

Scientific paper

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^\star = \lim_{L\to\infty} \xi(L)/L and the first four magnetization moment ratios V_{2n} = <{\cal M}^{2n}>/<{\cal M}^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.

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