On the trees of quantum fields
arXiv:hep-th/9906111 · doi:10.1007/s100529900234
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.
14 pages. LaTeX file with FeynMF commands. Corrected version (17 June 99)
References in corpus (1)
Cited by in corpus (6)
- Renormalization of QED with planar binary trees
- The normal distribution is -infinitely divisible
- A Treatise on Quantum Clifford Algebras
- Noncommutative renormalization for massless QED
- Hopf Algebras and Topological Recursion
- A mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory