The renormalization group with exact β-functions

Abstract

The perturbative β-function is known exactly in a number of supersymmetric theories and in the ‘t Hooft renormalization scheme in the [Formula: see text] model. It is shown how this allows one to compute the effective action exactly for certain background field configurations and to relate bare and renormalized couplings. The relationship between the minimal subtraction scheme and the supersymmetry subtraction scheme in N = 1 super Yang–Mills theory is discussed.PACS No.: 11.10Z