On the trees of quantum fields
High Energy Physics - Theory
2009-01-07 v2
Abstract
The solution of some equations involving functional derivatives is given as a series indexed by planar binary trees. The terms of the series are given by an explicit recursive formula. Some algebraic properties of these series are investigated. Several examples are treated in the case of quantum electrodynamics: the complete fermion and photon propagators, the two-body Green function, and the one-body Green function in the presence of an external source, the complete vacuum polarization, electron self-energy and irreducible vertex.
Cite
@article{arxiv.hep-th/9906111,
title = {On the trees of quantum fields},
author = {Ch. Brouder},
journal= {arXiv preprint arXiv:hep-th/9906111},
year = {2009}
}
Comments
14 pages. LaTeX file with FeynMF commands. Corrected version (17 June 99)