Abstract
The three-dimensional Ising model is studied by means of the Swendsen - Wang, cluster, Monte Carlo method. The simulations are performed on finite sized systems up to the 96-cube, and the renormalized coupling constant is estimated to be . We make further arguments and computations and say that and so that which implies the validity of hyperscaling. The Josephson hyperscaling relation also appears to hold. We give estimates for some of the critical indices.
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