Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Details Universal amplitude ratios in finite-size scaling: three-dimensional Ising model Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

2000-09-03

arxiv.org/abs/cond-mat/0009032v1

Nucl. Phys. B (Proc. Suppl.) 83-84 (2000) 721

Physics

Condensed Matter

Statistical Mechanics

3 pages, 2 figures, proceedings of LATTICE99, Pisa

Scientific paper

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case.

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