Summation of diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives

Abstract

For the massless N=1supersymmetric electrodynamics, regularized by higher derivatives, the Feynman diagrams, which define the divergent part of the two-point Green function and can not be found from Schwinger-Dyson equations and Ward identities, are partially summed. The result can be written as a special identity for Green functions.

16 pages, 10 figures

References in corpus (2)

• Investigation of the anomaly puzzle in N=1 supersymmetric electrodynamics
• Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics

Cited by in corpus (10)

• 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
• On the higher-derivative supersymmetric gauge theory
• Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics
• Contribution of matter fields to the Gell-Mann-Low function for N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives
• Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• Towards proof of new identity for Green functions in N=1 supersymmetric electrodynamics
• Verification of new identity for the Green functions in N=1 supersymmetric non-Abelian Yang--Mills theory with the matter fields