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 (2)

• The transition temperature in QCD
• Breakdown of staggered fermions at nonzero chemical potential

Cited by in corpus (9)

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• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
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• Determination of QCD phase diagram from the imaginary chemical potential region
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Vector-type four-quark interaction and its impact on QCD phase structure
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Lattice QCD at finite density: imaginary chemical potential