Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory

Abstract

Counting the contribution rate of a world-line formula to Feynman diagrams in ${\varphi }^3$ 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.

26 pages, two figures by pictex

References in corpus (2)

• Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills
• One-Loop Self-Dual and N=4 Super Yang-Mills

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