M. Caselle et M. Hasenbusch, UNIVERSAL AMPLITUDE RATIOS IN THE 3-DIMENSIONAL ISING-MODEL, Journal of physics. A, mathematical and general, 30(14), 1997, pp. 4963-4982
We present a high precision Monte Carlo study of various universal amp
litude ratios of the three-dimensional Ising spin model. Using state o
f the art simulation techniques we study the model close to criticalit
y in both phases. Great care is taken to control systematic errors due
to finite size effects and correction to scaling tel ms. We obtain C/C- = 4.75(3), f(+.2nd)/f(-.2nd) = 1.95(2) and u = 14.3(1). Our resul
ts are compatible with those obtained by field theoretic methods appli
ed to the phi(4) theory and high- and low-temperature series expansion
s of the Ising model. Tile mismatch with a previous Monte Carlo study
by Ruge et nl remains to be understood.