Free energy of static quarks and Debye screening mass in 2+1-flavor lattice QCD with Wilson quark action based on fixed-scale approach

Details Free energy of static quarks and Debye screening mass in 2+1-flavor lattice QCD with Wilson quark action based on fixed-scale approach Free energy of static quarks and Debye screening mass in 2+1-flavor lattice QCD with Wilson quark action based on fixed-scale approach

2011-12-13

arxiv.org/abs/1112.2756v1

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, 12 figures

Scientific paper

Free energies between static quarks and Debye screening masses in the quark-gluon plasma are studied on the basis of Polyakov-line correlations in lattice simulations of 2+1 flavors QCD with the renormalization-group improved gluon action and the $O(a)$-improved Wilson quark action. We perform simulations at $m_{\rm PS}/m_{\rm V} = 0.63$ (0.74) for light (strange) flavors with lattice sizes of $32^3 \times N_t$ with $N_t=4$--12. We adopt the fixed-scale approach, where temperature can be varied without changing the spatial volume and renormalization factor. We find that, at short distance, the free energies of static quarks in color-singlet channel converge to the static-quark potential evaluated from the Wilson-loop at zero-temperature, in accordance with the expected insensitivity of short distance physics to the temperature. At long distance, the free energies of static quarks approach to twice the single-quark free energies, implying that the interaction between static quarks is fully screened. The screening properties can be well described by the screened Coulomb form with appropriate Casimir factor at high temperature. We also discuss a limitation of the fixed-scale approach at high temperature.

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