Monte Carlo Renormalization Group calculation in $\lambda\phi^4_3$

Abstract

We start by discussing some theoretical issues of renormalization group transformations and Monte Carlo renormalization group technique. A method to compute the anomalous dimension is proposed and investigated. As an application, we find excellent values for critical exponents in $\lambda \phi^4_3$. Some technical questions regarding the hybrid algorithm and strong coupling expansions, used to compute the critical couplings of the canonical surface, are also briefly discussed.