Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions

Abstract

Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice gauge theory, the standard approach breaks down at large chemical potential $\mu$, due to the complex action problem. The Hamiltonian formulation of lattice QCD doesn't encounter such a problem. In a previous work, we developed a Hamiltonian approach at finite chemical potential $\mu$ and obtained reasonable results in the strong coupling regime. In this paper, we extend the previous work to Wilson fermions. We study the chiral behavior and calculate the vacuum energy, chiral condensate and quark number density, as well as the masses of light hadrons. There is a first order chiral phase transition at zero temperature.

arXiv comment23 pages. Version accepted for publication in Physical Review D

References in corpus (12)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• A new method to study lattice QCD at finite temperature and chemical potential
• The QCD equation of state at nonzero densities: lattice result
• Hamiltonian lattice QCD at finite chemical potential
• Monte Carlo Hamiltonian
• Monte Carlo Hamiltonian from Stochastic Basis
• Hamiltonian lattice QCD at finite density: equation of state in the strong coupling limit
• Critical Behavior of the Schwinger Model with Wilson Fermions
• Imaginary chemical potential in QCD at finite temperature
• Hamiltonian Lattice QCD with Wilson Fermions at Strong Coupling
• QCD at Finite Density

Cited by in corpus (10)

• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• Monte Carlo study of glueball masses in the Hamiltonian limit of SU(3) lattice gauge theory
• Bound States and Critical Behavior of the Yukawa Potential
• Tricritical point of lattice QCD with Wilson quarks at finite temperature and density
• A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential
• Frame Dragging Effect on Moment of Inertia and Radius of Gyration of Neutron Star
• QCD at Finite temperature and density with staggered and Wilson quarks
• Phase structures of strong coupling lattice QCD with overlap fermions at finite temperature and chemical potential
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD
• Dense baryonic matter in strong coupling lattice gauge theory