Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action

Abstract

We study the equation of state at finite temperature and density in two-flavor QCD with the RG-improved gluon action and the clover-improved Wilson quark action on a $16^3\times 4$ lattice. Along the lines of constant physics at $m_{\mathrm{PS}}/m_{\mathrm{V}}=0.65$ and 0.80, we compute the second and forth derivatives of the grand canonical partition function with respect to the quark chemical potential ${\mu }_q=({\mu }_u+{\mu }_d)/2$ and the isospin chemical potential ${\mu }_I=({\mu }_u-{\mu }_d)/2$ at vanishing chemical potentials, and study the behaviors of thermodynamic quantities at finite ${\mu }_q$ using these derivatives for the case ${\mu }_I=0$. In particular, we study density fluctuations at none-zero temperature and density by calculating the quark number and isospin susceptibilities and their derivatives with respect to ${\mu }_q$. To suppress statistical fluctuations, we also examine new techniques applicable at low densities. We find a large enhancement in the fluctuation of quark number when the density increased near the pseudo-critical temperature, suggesting a critical point at finite ${\mu }_q$ terminating the first order transition line between hadronic and quark gluon plasma phases. This result agrees with the previous results using staggered-type quark actions qualitatively. Furthermore, we study heavy-quark free energies and Debye screening masses at finite density by measuring the first and second derivatives of these quantities for various color channels of heavy quark-quark and quark-anti-quark pairs. The results suggest that, to the leading order of ${\mu }_q$, the interaction between two quarks becomes stronger at finite densities, while that between quark and anti-quark becomes weaker.

38 pages, 63 figures

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Cited by in corpus (63)

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• QCD phase diagram at finite baryon and isospin chemical potentials in Polyakov loop extended quark meson model with vector interaction
• Equation of state in 2+1 flavor QCD with improved Wilson quarks by the fixed scale approach
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• QCD thermodynamics with continuum extrapolated Wilson fermions II
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• Lee-Yang zero distribution of high temperature QCD and Roberge-Weiss phase transition
• Sign problem in finite density lattice QCD
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• Understanding of QCD at high density from Z3-symmetric QCD-like theory
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• Numerical Study of the Roberge-Weiss Transition
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• Towards extremely dense matter on the lattice
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• Finite density QCD phase transition in the heavy quark region
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• A new way of determining the Lattice QCD equation of state at a finite chemical potential
• Phase structure of heavy dense lattice QCD and the three-state Potts model
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• Iterative Fluiddynamics
• Extrapolation for meson screening masses from imaginary to real chemical potential
• QCD thermodynamics with Wilson fermions
• Low temperature limit of lattice QCD
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• Scaling behavior of chiral phase transition in two-flavor QCD with improved Wilson quarks at finite density
• Canonical approach -- Investigation of finite density QCD phase transition
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• Study of lattice QCD at finite baryon density using the canonical approach