On the trees of quantum fields

Details On the trees of quantum fields On the trees of quantum fields

1999-06-15

arxiv.org/abs/hep-th/9906111v2

Eur.Phys.J.C12:535-549,2000

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. LaTeX file with FeynMF commands. Corrected version (17 June 99)

Scientific paper

10.1007/s100529900234

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.

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