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Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent

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

It has been shown recently that the amplitude of the creation of $n$ real scalar particles by one virtual boson near $n$--particle threshold exhibits exponential behavior at $n\sim1/λ$. We extend this result to the processes of multiparticle production at threshold by two virtual bosons. We find that both the tree--level amplitude and leading--$n$ loop corrections have the same exponential behavior, with the common exponent for $1\to n$ and $2\to n$ processes, for various kinematics. This result strongly indicates that the exponent for multiparticle amplitudes is independent of the initial state and that there may exist a semiclassical approach to the study of multiparticle production.

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M. V. Libanov, D. T. Son, S. V. Troitsky. 1995-03-22. Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent. https://doi.org/10.1103/physrevd.52.3679

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