Calculation of scattering with the light-cone two-body equation in phi3 theories.

Abstract

The analysis of the light-cone two-body bound-state equation is extended to the scattering problem. The rotational invariance is violated in the light-cone quantization method when the Fock space is truncated for practical calculations. Using a simple scalar field model, we investigate the explicit rotation dependence of the two-body scattering phase shifts in the light-cone quantization approach. We find the regions of coupling constant and c.m. momentum where the rotation dependence in the phase shift is negligible. We also make a connection of our analysis with the light-cone scattering formalism recently presented by Fuda.