Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent
Abstract
It has been shown recently that the amplitude of the creation of n real scalar particles by one virtual boson near the nparticle threshold exhibits exponential behavior at n~1/λ. We extend this result to the processes of multiparticle production at threshold by two virtual bosons. We find that both the treelevel amplitude and leadingnloop corrections have the same exponential behavior, with the common exponent for 1>n and 2>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.
 Publication:

Physical Review D
 Pub Date:
 September 1995
 DOI:
 10.1103/PhysRevD.52.3679
 arXiv:
 arXiv:hepph/9503412
 Bibcode:
 1995PhRvD..52.3679L
 Keywords:

 11.10.Jj;
 11.10.Ef;
 11.15.Kc;
 Asymptotic problems and properties;
 Lagrangian and Hamiltonian approach;
 Classical and semiclassical techniques;
 High Energy Physics  Phenomenology
 EPrint:
 22 pages, REVTEX