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

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JOURNAL OF STATISTICAL PHYSICS
卷 98, 期 3-4, 页码 551-588

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SPRINGER
DOI: 10.1023/A:1018611122166

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Ising model; universal amplitude ratios; conformal field theory; torus; finite-size scaling; corrections to scaling; Monte Carlo; Swendsen-Wang algorithm; cluster algorithm

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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-->infinity) xi(L)/L and the first four magnetization moment ratios V(2n) = [M(2n)]/[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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