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

Abstract

Counting the contribution rate of a world-line formula to Feynman diagrams in φ3 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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