Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit

Details Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit

2001-01-14

arxiv.org/abs/hep-ph/0101144v3

Phys.Rev. D66 (2002) 074501

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 6 figures. Uses ReVTeX4 and BiBTeX. Revised version

Scientific paper

10.1103/PhysRevD.66.074501

The equation of state of Hamiltonian lattice QCD at finite density is examined in the strong coupling limit by constructing a solution to the equation of motion corresponding to an effective Hamiltonian describing the ground state of the many body system. This solution exactly diagonalizes the Hamiltonian to second order in field operators for all densities and is used to evaluate the vacuum energy density from which we obtain the equation of state. We find that up to and beyond the chiral symmetry restoration density the pressure of the quark Fermi sea can be negative indicating its mechanical instability. Our result is in qualitative agreement with continuum models and should be verifiable by future lattice simulations of strongly coupled QCD at finite density.

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