HighEnergy LargeMomentum Processes: Ladder Diagrams in PHI(3) Theory
Abstract
Relativistic quantum field theories may help us to understand highenergy, largemomentumtransfer processes, where the centerofmass energy is much larger than the transverse momentum transfers, which are in turn much larger than the masses of the participating particles. With this possibility in mind, we study ladder diagrams in varphi^3 theory. We show that in the limit s gg  t gg m^2, the scattering amplitude for the Nrung ladder diagram takes the form s^{1} t^{N+1} times a homogeneous polynomial of degree 2N  2 in ln s and ln  t. This polynomial takes different forms depending on the relation of ln  t to ln s. More precisely, the asymptotic formula for the Nrung ladder diagram has points of nonanalyticity when ln  t  = gamma ln s for gamma = {1/2 }, {1/3}, ...,{1/{N2}}.
 Publication:

Ph.D. Thesis
 Pub Date:
 August 1990
 Bibcode:
 1990PhDT........55N
 Keywords:

 PHI(3) THEORY;
 Physics: Elementary Particles and High Energy