6533b7dcfe1ef96bd1273391
RESEARCH PRODUCT
Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit
Yasuo Uminosubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsChiral perturbation theoryNuclear TheoryHigh Energy Physics::LatticeLattice field theoryQCD vacuumAstrophysics (astro-ph)High Energy Physics - Lattice (hep-lat)FOS: Physical sciencesLattice QCDAstrophysicsNuclear Theory (nucl-th)symbols.namesakeHigh Energy Physics - PhenomenologyHamiltonian lattice gauge theoryHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeHigh Energy Physics - Theory (hep-th)Quantum electrodynamicssymbolsHamiltonian (quantum mechanics)Ground stateLattice model (physics)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-14 |