Multiparticle tree amplitudes in scalar field theory

Details Multiparticle tree amplitudes in scalar field theory Multiparticle tree amplitudes in scalar field theory

1995-08-11

arxiv.org/abs/hep-th/9508048v1

Phys.Rev. D53 (1996) 2256-2259

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

10.1103/PhysRevD.53.2256

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 $n$ scalar particles by $n$ initial particles. The leading contributions to the tree amplitude, which become singular in the threshold limit, exhibit a factorial growth with n.

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