Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics

Details Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics

1999-07-07

arxiv.org/abs/hep-th/9907044v3

Phys.Rev. D61 (2000) 085017

Physics

High Energy Physics

High Energy Physics - Theory

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www

Scientific paper

10.1103/PhysRevD.61.085017

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.

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