Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics
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.
Cite
@article{arxiv.hep-th/9907044,
title = {Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics},
author = {M. Bachmann and H. Kleinert and A. Pelster},
journal= {arXiv preprint arXiv:hep-th/9907044},
year = {2009}
}
Comments
Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/292