Formulating Light Cone QCD on the Lattice

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

Formulating Light Cone QCD on the Lattice

Authors

Description

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 $H_{eff}$ from $H$ which is only quadratic in the momenta and therefore solvable by standard methods. An approximate ground state wave functional is determined variationally in the limit $η\to 0$.
48 pages, 8 figures