The Renormalization Group with Exact beta-Functions

Abstract

The perturbative $\beta$-function is known exactly in a number of supersymmetric theories and in the 't Hooft renormalization scheme in the ${\varphi }_4^4$ model. It is shown how this allows one to compute the effective action exactly for certain background field configurations and to relate bare and renormalized couplings. The relationship between the MS and SUSY subtraction schemes in $N=1$ super Yang-Mills theory is discussed.

References in corpus (16)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories
• Scheme dependence and the NSVZ $\beta$-function
• Improving the Effective Potential
• The connection between the DRED and NSVZ renormalisation schemes
• Radiative Electroweak Symmetry-Breaking Revisited
• Closed-Form Summation of RG-Accessible Logarithmic Contributions to Semileptonic B-Decays and Other Perturbative Processes
• Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
• Multi-scale Renormalisation Group Improvement of the Effective Potential
• Zero modes, beta functions and IR/UV interplay in higher-loop QED
• Renormalization group improvement of the effective potential in massive ${\varphi }^4$ theory
• Renormalization-Group Improvement of Effective Actions Beyond Summation of Leading Logarithms
• Renormalization Group Summation and the Free Energy of Hot QCD
• Vanishing of the Bare Coupling in Four Dimensions
• Infrared Consistency of NSVZ and DRED Supersymmetric Gluodynamics
• SU(2) Yang-Mills Theory with extended Supersymmetry in a Background Magnetic Field

Cited by in corpus (3)

• A Unique Determination of the Effective Potential in Terms of Renormalization Group Functions
• Summing Radiative Corrections to the Effective Potential
• Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory