Scattering of glueballs and mesons in compact QED in 2 + 1 dimensions

Abstract We study glueball and meson scattering in compact QED 2+1 gauge theory in a Hamiltonian formulation on a momentum lattice. We compute ground state energy and mass, and introduce a compact lattice momentum operator for the computation of dispersion relations. Using a non-perturbative time-dependent method we compute scattering cross sections for glueballs and mesons. We compare our results with strong coupling perturbation theory.