The NSVZ β-function and the Schwinger-Dyson equations for N N = 1 SQED with N f flavors, regularized by higher derivatives

2014/04/30 by K. V. Stepanyantz
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Diagram #Dimension (graph theory) #Function (biology) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Renormalization #Renormalization group #Superfield #Supersymmetry #hep-th

paper · pdf · doi:10.1007/jhep08(2014)096

70 pages, 24 figures; v2: a reference added

arxiv created 2014/06/08 · openalex publication_date 2014/08/01 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The effective diagram technique based on the Schwinger-Dyson equations is constructed for N = 1 SQED with N f flavors, regularized by higher derivatives. Using these effective diagrams, it is possible to derive the exact NSVZ relation between the β-function and the anomalous dimension of the matter superfields exactly in all loops, if the renormalization group functions are defined in terms of the bare coupling constant. In particular, we verify that all integrals which give the β-function defined in terms of the bare coupling constant are integrals of double total derivatives and prove some identities relating Green functions.

Citations

• 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
• Scheme dependence and the NSVZ β-function
• Derivation of the exact NSVZ β-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• N = 1 supersymmetry and the three-loop gauge β-function
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• Is the neutrino a goldstone particle?
• Reliable Perturbative Results for Strong Interactions?
• Supersymmetric Yang–Mills theories with local coupling: the supersymmetric gauge
• Three-Loop β-Function of N=1 Supersymmetric Electrodynamics Regularized by Higher Derivatives
• Regularization and renormalization of gauge fields
• Dimensional renorinalization : The number of dimensions as a regularizing parameter
• Higher derivative regularization and quantum corrections in N=1 supersymmetric theories