Equation of state of strongly coupled Hamiltonian lattice QCD at finite density

Abstract

We calculate the equation of state of strongly coupled Hamiltonian lattice QCD at finite density by constructing a solution to the equation of motion corresponding to an effective Hamiltonian using Wilson fermions. 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. This result is in qualitative agreement with continuum models and should be verifiable by future numerical simulations.

Comments: 14 pages, 2 EPS figures. Revised version - added discussion on the equation of state