The four dimensional site-diluted Ising model: a finite-size scaling study

Details The four dimensional site-diluted Ising model: a finite-size scaling study The four dimensional site-diluted Ising model: a finite-size scaling study

1997-07-16

arxiv.org/abs/hep-lat/9707017v1

Nucl.Phys. B512 (1998) 681-701

Physics

High Energy Physics

High Energy Physics - Lattice

30 pages, 8 postscript figures

Scientific paper

10.1016/S0550-3213(97)00797-9

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the perturbative scenario: there is only the Ising fixed point with large logarithmic scaling corrections. We obtain, using the Perturbative Renormalization Group, functional forms for the scaling of several observables that are in agreement with the numerical data.

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