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

Jesús Salas·Alan D. Sokal
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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^\star = \lim_{L\to\infty} ξ(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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Jesús Salas, Alan D. Sokal. 1999-10-07. Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus. https://doi.org/10.1023/a%3A1018611122166

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