Abstract <p>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.</p>

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Scheme Dependence and Exact Relations for the Renormalization Constants

  • K. V. Stepanyantz

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.