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The Solution of Light Cone QCD on the Lattice

Presenter: Hans J. Pirner — Heidelberg University, Theoretical Physics

D. Gruenewald, E.-M. Ilgenfritz, H.J. Pirner, E.V. Prokhvatilov

We present the near light-cone Hamiltonian H in lattice QCD depending on the parameter η, which gives the distance to the light cone. Since the vacuum has zero momentum we can derive an effective Hamiltonian Heff from H which is only quadratic in the momenta and therefore solvable by standard methods. The ground state wave functional is determined variationally in the limit η→0. Simple configurations are explored with this vacuum solution.