Tree Amplitudes in Scalar Field Theories

Physics – General Physics

Scientific paper

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18 pages, 6 figures, LaTeX

Scientific paper

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.

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