On the trees of quantum fields

被引：15

作者：

Brouder, C ^{[1
]}

机构：

[1] Univ Paris 06, CNRS, UMR 7590, Lab Mineral Cristallog,IPGP, F-75252 Paris 05, France

来源：

EUROPEAN PHYSICAL JOURNAL C | 2000年 / 12卷 / 03期

关键词：

D O I：

10.1007/s100529900234

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The solution of some equations involving functional derivatives is written 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: the electron self-energy and the irreducible vertex.

引用

页码：535 / 549

页数：15

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