Discretized light cone quantization and the coherent state basis.

Abstract

We suggest the use of a coherent state basis to calculate the Hamiltonian matrix elements in the discretized light cone quantization method of bound state calculations as a possible way of avoiding the vanishing energy denominators and the resulting true infrared singularities. As an example, we obtain the light cone Schr\"odinger equation for positronium using the coherent state basis and show the absence of the "Coulomb singularity."