Scattering of Glueballs and Mesons in Compact $QED$ in $2+1$ Dimensions

We study glueball and meson scattering in compact $QE{D}_{2+1}$ gauge theory in a Hamiltonian formulation and 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.