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

Abstract

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.

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

References in corpus (4)

• Hamiltonian lattice QCD at finite chemical potential
• Lattice gauge theory: A retrospective
• Three and Two Colours Finite Density QCD at Strong Coupling: A New Look
• Diagonalization of the strongly coupled lattice QCD Hamiltonian

Cited by in corpus (9)

• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• The spectrum of lattice QCD with staggered fermions at strong coupling
• Diquark condensation at strong coupling
• Lattice gauge theory with baryons at strong coupling
• Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions
• Order from disorder in lattice QCD at high density
• Critical behavior of strongly coupled lattice QCD at finite temperature
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD