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Phys. Rev. D 50, 7553–7569 (1994)

Exponentiation of multiparticle amplitudes in scalar theories

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M. V. Libanov, V. A. Rubakov, D. T. Son, and S. V. Troitsky
Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect 7a,p Moscow 117312 Russia

Received 26 July 1994; published in the issue dated 15 December 1994

It is argued that the amplitudes of the production of n soft scalar particles by one or a few energetic ones in theories such as λcphi4 have the exponential form An∝ √n! exp[1/λFn,ε)], in the regime λ→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.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.50.7553
DOI:
10.1103/PhysRevD.50.7553
PACS:
11.10.Jj, 11.10.Ef