Exact expressions for the renormalization constants in the MS-like schemes

2025/02/18 by K. V. Stepanyantz, Stepanyantz, Konstantin · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Optical properties and cooling technologies in crystalline materials #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.2502.12573

openalex publication_date 2025/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for a version of the dimensional technique in which the dimensionful parameter Λ differs from the renormalization scale μ. They encode the equations relating the coefficients at higher ε-poles, powers of ln Λ/μ, and mixed terms of the structure ε^-q ln^p Λ/μ to the coefficients of the renormalization group functions (i.e. of the β-function and the anomalous dimension). The general results are verified by some multiloop calculations.

Cited by

• Summation of power singularities

Related

• Higher ε-poles and logarithms in the MS-like schemes from the algebraic structure of the renormalization group
• Higher logarithms and ε-poles for the MS-like renormalization prescriptions
• Coefficients at powers of logarithms in the HD+MSL renormalization scheme
• Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes
• Beta Functions in the Integral Equation Approach to the Exact Renormalization Group