English

A Table of Third and Fourth Order Feynman Diagrams of the Interacting Fermion Green's Function

Atomic Physics 2007-05-23 v2

Abstract

The Feynman diagrams of the Green's function expansion of fermions interacting with a non-relativistic 2-body interaction are displayed in first, second and third order of the interaction as 2, 10 and 74 diagrams, respectively. A name convention for the diagrams is proposed and then used to tabulate the 706 diagrams of fourth order. The Hartree-Fock approximation summons up 2, 8, 40 and 224 of them, respectively.

Keywords

Cite

@article{arxiv.physics/0512022,
  title  = {A Table of Third and Fourth Order Feynman Diagrams of the Interacting Fermion Green's Function},
  author = {Richard J. Mathar},
  journal= {arXiv preprint arXiv:physics/0512022},
  year   = {2007}
}

Comments

12 pages, 13 figures, 16 tables. Index typo in Sect III corrected. More lines in Table XV. Three more references. Expanded Summary