Tree Amplitudes in Scalar Field Theories

Abstract

The tree amplitudes in scalar field theories are presented at all $n$. The momentum routing of propagators is given at $n$-point in terms of a specified set of numbers, and the mass expansion of the massive theories is generated. A group structure on the diagrams is given. The tree amplitudes can be used to find the effective action.

18 pages, 6 figures, LaTeX

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