Abstract
In our recent letter [1], we address the disagreement between renormalization group (RG) analytical prediction [2] and Monte Carlo simulation [3] for the magnetization distribution cumulants of the five-dimensional Ising model. The Monte Carlo data [3] for finite lattices (L ⩽ 17) did not agree with the RG predictions for the large-L limit [2]. We explore the possibility that this difference can be traced to strong finite-size corrections. Therefore, we calculate numerically the RG predictions for the finite-size corrections [1]. Our numerical RG finite-size corrections can be described very well with a square-root dependence L[( − 1)/(2)]. Such a power law was predicted in the RG paper [2] to be the leading correction term. Then, we compare the numerical RG predictions for the finite-size correction to the deviations of the Monte Carlo data from the RG predictions for the large-L limit. We find good agreement for the first and third absolute moment. For the fourth-order Binder cumulant, only the Monte Carlo data for the larger lattices is in agreement with the numerical RG predictions.