Generalization of Callan-Symanzik Equations to Those for Long-Rang Interactions
Y. Yamazaki · Progress of Theoretical Physics · 1976
Regularizations in systems with long-range interactions decaying as 1/rd+σ (d: dimension of space, 0<σ<2) are studied and the Callan-Symanzik equations for short-range interaction are generalized by means of the differential vertex operations to those convenient for studying critical phenomena of the systems with the long-range interactions. The generalized Callan-Symanzik and renormalization-group equations were obtained in the same forms as the old ones.