Equation of state of strongly coupled QCD at finite density

Details Equation of state of strongly coupled QCD at finite density Equation of state of strongly coupled QCD at finite density

2001-09-14

arxiv.org/abs/hep-ph/0109132v1

Mod.Phys.Lett. A17 (2002) 2513-2522

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 2 EPS figures, Contribution to the Proceedings of the "Quantum Monte Carlo" meeting (Trento, Italy, July 3-6, 2001)

Scientific paper

10.1142/S0217732302009234

Using an effective strongly coupled lattice QCD Hamiltonian and Wilson fermions we calculate the equation of state for cold and dense quark matter by constructing an ansatz which exactly diagonalizes the Hamiltonian to second order in field operators for all densities. This ansatz obeys the free lattice Dirac equation with a chemical potential term and a mass term which is interpreted as the dynamical quark mass. We find that the order of chiral phase transition depends on the values of input parameters. In the phase with spontaneously broken chiral symmetry the quark Fermi sea has negative pressure indicating its mechanical instability. This result is in qualitative agreement with those obtained using continuum field theory models with four--point interactions.

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