Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential

Abstract

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential ${\mu }_B$. Using the imaginary chemical potential for which the fermion determinant is positive, we perform simulations at points where the ratios of pseudo-scalar meson mass to the vector meson mass $m_{\pi }/m_{\rho }$ are between $0.943(3)$ and $0.899(4)$ as well as in the quenched limit. By analytic continuation to real quark chemical potential $\mu$, we obtain the transition temperature as a function of small ${\mu }_B$. We attempt to determine the nature of transition at imaginary chemical potential by histogram, MC history, and finite size scaling. In the infinite heavy quark limit, the transition is of first order. At intermediate values of quark mass $m_q$ corresponding to the ratio of $m_{\pi }/m_{\rho }$ in the range from $0.943(3)$ to $0.899(4)$ at $a{\mu }_I=0.24$, the MC simulations show absence of phase transition.

10 pages, 17 figures;16 figures;9 pages,10 figures;10 pages,11 figures

References in corpus (22)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Finite density QCD via imaginary chemical potential
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• A new method to study lattice QCD at finite temperature and chemical potential
• The transition temperature in QCD
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• Equation of State for the SU(3) Gauge Theory
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• Results on Finite Density QCD
• Mapping the QCD Phase Diagram
• Scaling of Chiral Order Parameter in Two-Flavor QCD
• Breakdown of staggered fermions at nonzero chemical potential
• Locality with staggered fermions
• QCD Thermodynamics with an Improved Lattice Action
• The nature of the thermal phase transition with Wilson quarks
• The fourth root of the Kogut-Susskind determinant via infinite component fields

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