1995/05/18 by D. T. Son, D.T. Son · 1 voice · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #hep-ph
paper · pdf · doi:10.1016/0550-3213(96)00386-0
arxiv published 1995/05/18 · arxiv updated 1995/12/19 · openalex publication_date 1996/10/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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-1F(λn,ε)) in the regime λ→0, λn, ε= fixed, where λ is the scalar coupling, n is the number of produced particles, and ε 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 tree--level cross section in the ultra--relativistic regime.