Critical exponents of the 3-D Ising model

We present a status report on the ongoing analysis of the 3D Ising model with nearest-neighbor interactions using the Monte Carlo Renormalization Group (MCRG) and finite size scaling (FSS) methods on 64(3), 128(3), and 256(3) simple cubic lattices. Our MCRG estimates are K-nn(c) = 0.221655(1)(1) and nu = 0.625(1). The FSS results for K-c are consistent with those from MCRG but the value of nu is not. Our best estimate eta = 0.025(6) covers the spread in the MCRG and FSS values. A surprise of our calculation is the estimate w approximate to 0.7 for the correction-to-scaling exponent. We also present results for the renormalized coupling g(R) along the MCRG flow and argue that the data support the validity of hyperscaling for the 3D Ising model.