Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
arXiv:1102.3772 · doi:10.1016/j.nuclphysb.2011.06.018
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.
38 pages
References in corpus (6)
- Four-loop beta function and mass anomalous dimension in Dimensional Reduction
- Manifestly Gauge Invariant QCD
- 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
- Higher derivative regularization and quantum corrections in N=1 supersymmetric theories