Counting tree diagrams: asymptotic results for QCD-like theories

Counting tree diagrams: asymptotic results for QCD-like theories

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 QE...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2002-04, Vol.23 (4), p.701-706
Hauptverfasser: Draggiotis, P., Kleiss, R.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Enumeration
Feynman diagrams
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Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1007/s100520200889