Counting tree diagrams: asymptotic results for QCD-like theories

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages

Scientific paper

10.1007/s100520200889

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.

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