ar X iv : h ep - l at / 9 40 30 09 v 1 9 M ar 1 99 4 Correlation Function in Ising Models

نویسندگان

  • C. Ruge
  • P. Zhu
  • F. Wagner
چکیده

We simulated the fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the available exact results in d = 2, which shows, that the cluster algorithm can succesfully be applied for correlations. We show as a further result that our data do not support a hypothesis of Fisher that in any d = 2 lattice the fourier transform of the correlation function depends on the lattice generating function only. In d = 3 our simulation are again in agreement with the results from the series expansion, except for the amplitudes f ± , where we find f + /f − = 2.06(1).

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تاریخ انتشار 1994