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

Feb, 2011
38 pages
Published in:
  • Nucl.Phys.B 852 (2011) 71-107
e-Print:

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Abstract: (Elsevier)
For N = 1 supersymmetric quantum electrodynamics, regularized by higher derivatives, a method for summation of all Feynman diagrams defining the β -function is presented. Using this method we prove that the β -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 β -function. The results are compared with the explicit three-loop calculation.
  • Higher derivative regularization
  • beta-Function
  • Supersymmetry
  • 81T15
  • 81T18
  • 81T60
  • β -Function
  • β-Function
  • derivative: high
  • quantum electrodynamics: supersymmetry