Derivation of the exact NSVZ β-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams

2011/02/18 by K. V. Stepanyantz · 2 citations
Mathematics · Physics and Astronomy · #Applied mathematics #BETA (programming language) #Beta function (physics) #Black Holes and Theoretical Physics #Computer science #Derivative (finance) #Feynman diagram #Feynman integral #Function (biology) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Thermal quantum field theory #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2011.06.018

published as Nucl.Phys.B852:71-107,2011 · 38 pages

arxiv created 2011/02/18 · openalex publication_date 2011/07/10 · arxiv updated 2011/08/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

For N=1 supersymmetric quantum electrodynamics, regularized by higher derivatives, a method for summation of all Feynman diagrams defining the beta-function is presented. Using this method we prove that the beta-function is given by an integral of a total derivative, which can be easily calculated. It is shown that surviving terms give the exact NSVZ beta-function. The results are compared with the explicit three-loop calculation.

Citations

• Scheme dependence and the NSVZ β-function
• Exact scheme independence at two loops
• N = 1 supersymmetry and the three-loop gauge β-function
• Ultraviolet Behavior of Non-Abelian Gauge Theories
• 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
• Higher derivative regularization and quantum corrections in N=1 supersymmetric theories

Cited by

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