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Exponentiation of Multiparticle Amplitudes in Scalar Theories

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arxiv hep-ph/9407381 v1 pith:XFNADJ35 submitted 1994-07-26 hep-ph

M.V.Libanov , V.A.Rubakov , D.T.Son , S.V.Troitsky This is my paper · ORCID
classification hep-ph
keywords lambdaamplitudesepsilonexponentialfixedmultiparticleparticlesresults
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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 $\lambda\phi^4$ has the exponential form, $A_n\propto\sqrt{n!}\exp[{1\over\lambda}F(\lambda n,\epsilon)]$, in the regime $\lambda\to 0$, $\lambda n={fixed}$, $\epsilon={fixed}$, where $\epsilon$ 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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