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Approach to the High Density State of QCD

Approach to the High Density State of QCD. S. Muroya Tokuyama Women’s College. Contents. Introduction Finite Density QCD in Nara の話題 理論から予想される相図 格子シミュレーションの現状 実験に寄せる期待 まとめ. 物理学最前線 “クォークマター” 宮村修 1986. 物理学最前線 “クォークマター” 宮村修. 物理学最前線 “クォークマター” 宮村修. 講演数４２. SU(3). 12. QCD. 20. SU(2).

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Approach to the High Density State of QCD

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  1. Approach to the High Density State of QCD S. Muroya Tokuyama Women’s College

  2. Contents • Introduction • Finite Density QCD in Naraの話題 • 理論から予想される相図 • 格子シミュレーションの現状 • 実験に寄せる期待 • まとめ

  3. 物理学最前線 “クォークマター” 宮村修 1986

  4. 物理学最前線 “クォークマター” 宮村修

  5. 物理学最前線 “クォークマター” 宮村修

  6. 講演数４２ SU(3) 12 QCD 20 SU(2) 2 Lattice MC 6 モデル・アルゴリスム 2 Lattice QCD 8 理論計算 22 6 NJL New Picture 6 http://www.riise.hiroshima-u.ac.jp/FDQCD/

  7. お土産のマグカップの シンボルマーク by 湯川先生 将来の会議で シンボルマークに 使われるであろう 初田さんの 書 バンケットの主役 中村さんの パンフルート Closing by Pierre van Baal

  8. Big bang Universe RHIC GSI, J-PARC 最近の標準的な相図 QGP Critical end point？ T hadron CFL 2CS csb csb csymmetry restore? m

  9. 2nd (20,146) 147MeV 2nd 1st =325MeV S. Takaki, PTP 109 (03)233

  10. 臨界点付近での揺らぎが見えるか？ 流体モデル を通じて実験と比較 (Asakawa and Nonaka)

  11. Big bang Universe RHIC GSI, J-PARC Does Chiral symmetry restore ? (m_s vs m) QGP Critical end point？ T hadron CFL 2CS cs csb csb csymmetry restore? m

  12. Hiroaki Abuki : hep-ph/0306074 m_c =325 MeV by Takaki • Schwinger-Dyson eq, + CJT effective potential • Improved Ladder

  13. Big bang Universe RHIC GSI, J-PARC Does Chiral symmetry restore ? (m_s vs m) QGP Critical end point？ T hadron ? 2CS CFL csb csb m c-symmetry never restore?

  14. Approach to high density state of the Lattice QCD • Reweighting method • Fodor & Katz • Grasgow • Taylor expansion • Imaginary Chemical Potential • Density of the state • Positive Measure model

  15. Chemical Potential on a Lattice • Introducing the chemical potential on a lattice (Wilson fermion) • Phase (sign) problem k：hopping parameter quark mass

  16. Fodor-Katz, JHEP03(2002)014 Standard gauge + Staggered fermion

  17. Reweighting • Fodor and Katz • Multi-reweighting • method

  18. Taylor expansion at high T and low m • Allton et al. (Bielefeld-Swansea) hep-lat/0204010 Improved action + Improved staggered fermion 170 MeV ma=0.29

  19. Imaginary Chemical Potential deForcrand and Philipsen NPB642(02)290; hep-lat/0307020 D’Elia and Lombardo Phys.Rev. D67 (2003) 014505 • At small m Z(3) symmetry Standard gauge + Staggered fermion

  20. Allton et al. Fodor-Katz Consistent !? YES deForcrand-Philipsen D’Elia and Lombardo

  21. Effective theory Finite Isospin Two-color QCD Pseudo-Real Models free from Sing Problem Monte Carlo Calculation Works Well !

  22. 3 4 X8 Clear evidence of r meson mass decrease at finite chemical potential ! Color SU(2) r at Finite Density , k = 0.160 r p

  23. Color SU(2) r at Finite Chemical Potential • Peculiar behavior of a vector meson at finite density k=0.175 k=0.160 a a • Mass of r becomes small ! • Remind us of the CERES Experiment

  24. Sinclare and Kogut, • p condensation with m_I • diquark condensation in colorSU(2)

  25. Talk by Fukushima. Strong coupling expansion works well to investigate Lattice results

  26. Where exists a high density state? • Quark star ? • Compact star … etc Something new cosmological object? • Collision experiment • CERES/NA45 Pb-Au 40GeV/A spectrum change is clearer than 200GeV/A • GSI or J-PARC 50 GeV/A

  27. Hydro-dynamical model by Morita and Muroya Single-Particle Distributions

  28. Output 17.8 GeV/A RHIC 200Gev/A SPS Pb+Pb • Input Parameters 5.74 GeV/fm3 3.7 GeV/fm3 0.70 fm-3 1.09 Ef = 70 MeV/fm3 (<Tf> = 123 MeV) E0max = 6.9 GeV/fm3 (T0=238 MeV) <Eini> = 4.5 GeV/fm3 nB0= 0.31 fm-3 h0+sh = 2.7 Tf = 130 MeV • Output Total Energy = 37420 GeV (95%) Net Baryon Number = 256 <mB> = 110 MeV <vT> (|h|<0.1) = 0.486 3267 GeV (92%) 305 280.2 MeV 0.467 Hydro-dynamical model by Morita and Muroya

  29. 高密度QCD • 複雑な相構造 • Strange quark mass の違い 異なった Symmetry breaking pattern • model の入れ方が重要 • Tatsumi, Iwasaki et al,, , もっといろいろな可能性も • Lattice simulation for small mseems to work enough • Future experiments at GSI and/or JPARC • に期待しみんなで応援しましょう http://www.riise.hiroshima-u.ac.jp/FDQCD/ RHIC Muroya, Nakamura, Nonaka and Takaishi : hep-lat/0306031 JPARC Thomas Schafer, hep-ph/0304281 Ferro-Mgn.? Q-Hall st ?

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