Formulating Light Cone QCD on the Lattice

Details Formulating Light Cone QCD on the Lattice Formulating Light Cone QCD on the Lattice

2007-11-05

arxiv.org/abs/0711.0620v1

Phys.Rev.D77:014512,2008

Physics

High Energy Physics

High Energy Physics - Lattice

48 pages, 8 figures

Scientific paper

10.1103/PhysRevD.77.014512

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 $\eta \to 0$.

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