Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives

Abstract

Some calculations in supersymmetric theories, made with the higher derivative regularization, show that the beta-function is given by integrals of total derivatives. This is qualitatively explained for the N=1 supersymmetric electrodynamics in all orders.

14 pages

References in corpus (10)

• Four-loop beta function and mass anomalous dimension in Dimensional Reduction
• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• Calculation of two-loop beta-function for general N=1 supersymmetric Yang--Mills theory with the higher covariant derivative regularization
• Manifestly Gauge Invariant QCD
• The higher derivative regularization and quantum corrections in $\mathcal{N}=2$ supersymmetric theories
• Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory
• Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics
• Operator Product Expansion and Calculation of the Two-Loop Gell-Mann-Low Function
• Higher derivative regularization and quantum corrections in N=1 supersymmetric theories

Cited by in corpus (5)

• NSVZ scheme with the higher derivative regularization for N=1 SQED
• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• The higher derivative regularization and quantum corrections in $\mathcal{N}=2$ supersymmetric theories
• The NSVZ beta-function and the Schwinger-Dyson equations for N=1 SQED with N_f flavors, regularized by higher derivatives
• Factorization of integrals defining the two-loop beta-function for the general renormalizable N=1 SYM theory, regularized by the higher covariant derivatives, into integrals of double total derivatives