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

1997-09-23

arxiv.org/abs/hep-lat/9709089v1

Nucl.Phys.Proc.Suppl. 63 (1998) 613-615

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, talk given at LATTICE97

Scientific paper

10.1016/S0920-5632(97)00848-7

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.

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