December 2007, to be published in Physical Review D1


Formulating light cone QCD on the lattice
D. Gr\"{u}newald, E.-M. Ilgenfritz, E. V. Prokhvatilov, and H. J. Pirner

We present the near light cone Hamiltonian $H$ in lattice QCD depending on the parameter $\eta$, 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 $\eta \rightarrow 0$.

© 2008 The American Physical Society.