We propose a numerical method for resummation of perturbative series, whichis based on the stochastic perturbative solution of Schwinger-Dyson equations.The method stochastically estimates the coefficients of perturbative series,and incorporates Borel resummation in a natural way. Similarly to the "worm"algorithm, the method samples open Feynman diagrams, but with an arbitrarynumber of external legs. As a test of our numerical algorithm, we study thescale dependence of the renormalized coupling constant in a theory ofone-component scalar field with quartic interaction. We confirm the trivialityof this theory in four and five space-time dimensions, and the instability ofthe trivial fixed point in three dimensions.
展开▼