Diagonalization of the strongly coupled lattice QCD Hamiltonian

Details Diagonalization of the strongly coupled lattice QCD Hamiltonian Diagonalization of the strongly coupled lattice QCD Hamiltonian

2000-07-31

arxiv.org/abs/hep-ph/0007356v2

Phys.Lett. B492 (2000) 385-392

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 2 figures

Scientific paper

10.1016/S0370-2693(00)01096-0

We construct a solution to the equation of motion of Hamiltonian lattice QCD in the strong coupling limit using Wilson fermions which exactly diagonalizes the Hamiltonian to second order in the field operators. This solution obeys the free lattice Dirac equation with a dynamical mass which is identified with the gap. The equation determining this gap is derived and it is found that the dynamical quark mass is a constant to lowest order in N_c but becomes momentum dependent once 1/N_c corrections are taken into account. We interpret our solution within the framework of the N-quantum approach to quantum field theory and discuss how our formalism may be systematically extended to study bound states at finite temperature and chemical potential.

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