In order to model positronium-positronium scattering in QED or meson-meson scattering in QCD, we consider QED₁₊₁, which is a gauge theory and confines single fermions. We present first numerical results of a lattice calculation on scattering of two composite particles. The composite particles are taken as neutral, fermion-antifermion, lowest-mass eigenstates of the Hamiltonian. We use the light-cone momentum representation on a lattice and employ a nonperturbative time-dependent method to compute the S matrix.
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Brière et al. (1989) studied this question.
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