Multiparticle tree amplitudes in scalar field theory
High Energy Physics - Theory
2009-10-28 v1 High Energy Physics - Phenomenology
Abstract
Following an argument advanced by Feynman, we consider a method for obtaining the effective action which generates the sum of tree diagrams with external physical particles. This technique is applied, in the unbroken \lambda \phi^4 theory, to the derivation of the threshold amplitude for the production of scalar particles by initial particles. The leading contributions to the tree amplitude, which become singular in the threshold limit, exhibit a factorial growth with n.
Cite
@article{arxiv.hep-th/9508048,
title = {Multiparticle tree amplitudes in scalar field theory},
author = {Fernando T Brandt and Josif Frenkel},
journal= {arXiv preprint arXiv:hep-th/9508048},
year = {2009}
}
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