Semiclassical approach for multiparticle production in scalar theories

May, 1995
28 pages
Published in:
  • Nucl.Phys.B 477 (1996) 378-406
e-Print:
Report number:
  • RU-95-31

Citations per year

19952002200920162023024681012
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(λ1F(λn,ϵ))\exp(\lambda^{-1}F(\lambda n,\epsilon)) in the regime λ0\lambda\to0, λn\lambda n, ϵ=\epsilon= fixed, where λ\lambda is the scalar coupling, nn is the number of produced particles, and ϵ\epsilon 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.
  • 11.15.Kc
  • Non-perturbative techniques
  • Semiclassical techniques
  • phi**n model: 4
  • any-dimensional
  • approximation: semiclassical
  • scattering amplitude
  • total cross section
  • multiple production
  • perturbation theory: higher-order
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