Scheme Dependence and Exact Relations for the Renormalization Constants
摘要
Abstract
The group of finite renormalizations relating various renormalization prescriptions is considered as an infinite dimensional Lie group. The corresponding Lie algebra is constructed, and the Abelian subgroup corresponding to the changing of the renormalization point is studied. It is demonstrated that it can be used for obtaining all-order exact expressions for the renormalization constants relating them to the renormalization group functions.