Semiclassical approach for multiparticle production in scalar theories
Abstract
We propose a semiclassical approach to calculate multiparticle cross sections in scalar theories, which have been strongly argued to have the exponential form exp( λ^{1}F( λn, ɛ)) in the regime λ → 0, λn, ɛ = fixed, where λ is the scalar coupling, n is the number of produced particles, and ɛ is the kinetic energy per final particle. The formalism is based on singular solutions to the field equation, which satisfy certain boundary and extremizing conditions. At low multiplicities and small kinetic energies per final particle we reproduce in the framework of this formalism the main perturbative results. We also obtain a lower bound on the treelevel cross section in the ultrarelativistic regime.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)003860
 arXiv:
 arXiv:hepph/9505338
 Bibcode:
 1996NuPhB.477..378S
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 completely revised and rewritten, 33 pp., 4 figures, use bezier.sty