Representation of the β-function and anomalous dimensions by nonsingular integrals in models of critical dynamics

Abstract

We propose a method for calculating the β-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and e-expansion. Those quantities are expressed in terms of the renormalized Green’s function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in e and are convenient for numerical integration.