Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop $Φ^3$ Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, two figures by pictex

Scientific paper

10.1016/S0550-3213(98)00329-0

Counting the contribution rate of a world-line formula to Feynman diagrams in
$\phi^3$ theory, we explain the idea how to determine precise combinatorics of
Bern-Kosower-like amplitudes derived from a bosonic string theory for $N$-point
two-loop Feynman amplitudes. In this connection we also present a method to
derive simple and compact world-line forms for the effective action.

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