Dealing with Truncation in Monte Carlo Renormalization-Group Calculations
Phys. Rev. Lett. 55, 1812 – Published 28 October, 1985
DOI: https://doi.org/10.1103/PhysRevLett.55.1812
Abstract
We use the Ising model as a concrete example to show that truncation of the derivative matrix to a subspace of short-range interactions needs some justification, since each row of contains arbitrarily large elements in the long-range sector. We point out that despite this a small parameter justifying truncation may exist, we show how to find it, and we perturbatively correct the errors due to truncation, all without leaving . The bulk of our analysis carries over to other Monte Carlo renormalization-group studies, particularly the Ising model.