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arXiv · hep-ph/9407381

Exponentiation of Multiparticle Amplitudes in Scalar Theories

M. V. Libanov·V. A. Rubakov·D. T. Son·S. V. Troitsky
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Abstract

It is argued that the amplitudes of the production of $n$ soft scalar particles by one or a few energetic ones in theories like $λϕ^4$ has the exponential form, $A_n\propto\sqrt{n!}\exp[{1\overλ}F(λn,ε)]$, in the regime $λ\to 0$, $λn={fixed}$, $ε={fixed}$, where $ε$ is the typical kinetic energy of outgoing particles. Existing results support this conjecture. Several new analytical and numerical results in favor of the exponential behavior of multiparticle amplitudes are presented.

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M. V. Libanov, V. A. Rubakov, D. T. Son, S. V. Troitsky. 1994-07-26. Exponentiation of Multiparticle Amplitudes in Scalar Theories. https://doi.org/10.1103/physrevd.50.7553

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