Universal Amplitude Ratios in the 3D Ising Model

Details Universal Amplitude Ratios in the 3D Ising Model Universal Amplitude Ratios in the 3D Ising Model

1997-01-10

arxiv.org/abs/hep-lat/9701007v2

J.Phys.A30:4963-4982,1997

Physics

High Energy Physics

High Energy Physics - Lattice

latex file of 24 pages, four references added

Scientific paper

10.1088/0305-4470/30/14/010

We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care was taken to control systematic errors due to finite size effects and correction to scaling terms. We obtain $C_+/C_-=4.75(3)$, $f_{+,2nd}/f_{-,2nd}=1.95(2)$ and $u^*=14.3(1)$. Our results are compatible with those obtained by field theoretic methods applied to the $\phi^4$ theory and high and low temperature series expansions of the Ising model. The mismatch with a previous Montecarlo study by Ruge et al. remains to be understood.

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