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

Citation
J. Salas et Ad. Sokal, Universal amplitude ratios in the critical two-dimensional Ising model on a torus, J STAT PHYS, 98(3-4), 2000, pp. 551-588
Citations number
116
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
98
Issue
3-4
Year of publication
2000
Pages
551 - 588
Database
ISI
SICI code
0022-4715(200002)98:3-4<551:UARITC>2.0.ZU;2-F
Abstract
Using results from conformal field theory, we compute several universal amp litude ratios for the two-dimensional Ising model at criticality on a symme tric torus. These include the correlation-length ratio x* = lim(L-->infinit y) 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.