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Heavy quark Potentials in Full QCD Lattice Simulations at Finite Temperature

Heavy quark Potentials in Full QCD Lattice Simulations at Finite Temperature. Tsukuba-Tokyo collaboration. Yuu Maezawa (The Univ. of Tokyo). Univ. of Tsukuba. The Univ. of Tokyo. S. Aoki K. Kanaya Y. Taniguchi. E. Ejiri T. Hatsuda N. Ishii N. Ukita. Contents. Motivations

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Heavy quark Potentials in Full QCD Lattice Simulations at Finite Temperature

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  1. Heavy quark Potentials in Full QCD Lattice Simulations at Finite Temperature Tsukuba-Tokyo collaboration Yuu Maezawa (The Univ. of Tokyo) Univ. of Tsukuba The Univ. of Tokyo S. Aoki K. Kanaya Y. Taniguchi E. Ejiri T. Hatsuda N. Ishii N. Ukita

  2. Contents • Motivations • Free energy and Potential on lattice • Numerical simulations • Summary • Potentials using two-flavor Wilson quarks • Screening effect • Comparison with Staggered fermion

  3. Motivations • Heavy quark free energy in hot matter 1. Channel dependence of "potential" ( 1c, 8c, 3c, 6c) 2. Effective running coupling at 3. Debye screening mass at 4. Relation to p-QCD at high T • Full-QCD lattice simulation We use improved Wilson fermion action. 1. not many works 2. Comparison with staggered fermion action

  4. Polyakov loop: Free energy and Potential on a lattice • Free energy of the quark-antiquark pair McLerran, Svetitsky, PRD 24 (1981) 450 Static charged quark • Quark- antiquark “potential” (normalized free energy)

  5. Separation to each channel after Coulomb gauge fixing Projection operator and Nadkarni, PRD 34 (1986) 3904 • Quark-quark potential

  6. Numerical simulations Parameters • Lattice size: • Gauge action: RG Iwasaki improved action • Fermion action: Clover improved Wilson action (2-flavor) • Quark mass & Temperature • # of Configurations: 500 confs. (5000 traj.) • Gauge fixing: Coulomb gauge

  7. Debye Screening Quark-antiquark potential 1c channel: attractive force 8c channel: repulsive force

  8. Debye Screening 3c channel: attractive force 6c channel: repulsive force Quark-quark potential c.f. Quenched action Nakamura and Saito (2004)

  9. : Casimir factor Fitting the potentials of each channel with and as free parameters. Screening effect Phenomenological potential : screened Coulomb potential

  10. Results of and . For T > 2.5Tc, potentials of each channel can be written by the sameparameters: and .

  11. Relation between and . 10% • Effective running coupling • Screening mass ? for 1c potential is described by effective running coupling with 10% accuracy.

  12. on a lattice vs. perturbative screening mass • 2-loop running coupling • Leading order perturbation Lattice screening mass is not reproduced by the LO-type screening mass.

  13. on a lattice vs. perturbative screening mass Magnetic screening mass: • Next-to-leading order perturbation Rebhan, PRD 48 (1993) 48 Fitting Lattice screening mass is well reproduced by the NLO-type screening mass at T > 2Tc.

  14. Systematic error due to the difference of actions smaller when Comparison with staggered fermion • Improved staggered fermion with Kaczmarek and Zantow, PRD 71 (2005) 114510

  15. and are independent on channel. • Systematic error due to the difference of actions smaller when Summary • Heavy quark "potential" • Lattice QCD simulation using 2-flavor Wilson fermion action 1c, 3c : attractive force 8c, 6c : repulsive force • Screening effect potentials are fitted by effective running coupling 2-loop running coupling

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