Abstract
The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models indimension four are studied through extensive numerical simulations, and from ananalysis of high temperature series expansion (HTSE) data of Klein et al. (1991). Thesimulations include standard finite size scaling measurements, thermodynamic limitregime measurements, and analyses which provide estimates of critical exponents withoutany consideration of the critical temperature. The higher order HTSE series for the bimodalmodel provide accurate estimates of the critical temperature and critical exponents. Theseestimates are independent of and fully consistent with the simulation values. Comparisonsbetween ISG models in dimension four show that the critical exponents and the criticalconstants for dimensionless observables depend on the form of the interaction distributionof the model.