Counting tree diagrams: asymptotic results for QCD-like theories

DOI10.1007/S100520200889zbMATH Open1099.81537arXivhep-ph/0110225OpenAlexW2094271758MaRDI QIDQ1348893

V. Pereyra

Publication date: 20 May 2002

Published in: The European Physical Journal C. Particles and Fields (Search for Journal in Brave)

Abstract: We discuss the enumeration of Feynman diagrams at tree order for processes with external lines of different types. We show how this can be done by iterating algebraic Schwinger-Dyson equations. Asymptotic estimates for very many external lines are derived. Applications include QED, QCD and scalar QED, and the asymptotic estimates are numerically confronted with the exact results.

Full work available at URL: https://arxiv.org/abs/hep-ph/0110225

zbMATH Keywords

asymptotic estimatessaddle point methodsalgebraic Schwinger-Dyson equation iteration

Mathematics Subject Classification ID

Feynman diagrams (81T18)

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