Abstract

We present numerical results of a lattice calculation on scattering of two composite particles in QED 1+1 which confines single fermions. The composite particles are taken as neutral, fermionantifermion, lowest mass eigen states of the Hamiltonian. We use the light-cone momentum representation on a lattice and compute the time evolution and S-matrix by diagonalizing the lattice Hamiltonian. Moreover, we discuss a new method based on the Hamiltonian formulation and on the Monte Carlo projector technique in order to compute the Minkowski time evolution and S-matrix. We present results for NN scattering in a non-relativistic potential model.

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