Recursive graphical construction of Feynman diagrams in quantum electrodynamics

Jul, 1999
20 pages
Published in:
  • Phys.Rev.D 61 (2000) 085017
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Abstract:
We present a method for a recursive graphical construction of Feynman diagrams with their correct multiplicities in quantum electrodynamics. The method is first applied to find all diagrams contributing to the vacuum energy from which all n-point functions are derived by functional differentiation with respect to electron and photon propagators, and to the interaction. Basis for our construction is a functional differential equation obeyed by the vacuum energy when considered as a functional of the free propagators and the interaction. Our method does not employ external sources in contrast to traditional approaches.
  • quantum electrodynamics
  • Feynman graph: higher-order
  • vacuum state: energy state
  • n-point function
  • propagator
  • photon: scattering
  • electron: scattering
  • external field
  • graph theory