The behavior of the beta-function of the low-energy effective coupling is determined near the superconformal points in moduli space for two cases, the N = 2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and the SU(3) Yang-Mills theory. The renormalization group flow is unambiguously fixed by looking at limited types of deformation near the superconformal points. It is pointed out that the scaling dimension of the beta-function is controlled by the scaling behavior of moduli parameters, and the relation between them is explicitly worked out. Our scaling dimensions for the beta-functions are consistent in part with the results obtained recently by Bilal and Ferrari using a different method for the SU(2) QCD.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)