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QGP and Confinement

QGP and Confinement . Poster. X-QCD Japan ( S.Motoki , K.Nagata , Y.Nakagawa , A. Nakamura and T.Saito ) and V.I.Zakharov. XQCD 2010 Wilhelm and Else Heraeus Seminar Bad Honnef , June 21-23. Next Talk. I am ver y proud that. Most of the Results here are New!. I regret that.

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QGP and Confinement

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  1. QGP and Confinement Poster X-QCD Japan (S.Motoki, K.Nagata, Y.Nakagawa, A. Nakamura and T.Saito) and V.I.Zakharov XQCD 2010 Wilhelm and Else Heraeus Seminar Bad Honnef, June 21-23 Next Talk

  2. I am very proud that Most of the Results here are New!

  3. I regret that I do not know the Meaning of the most data. ? Let us think together ! Data are preliminary.

  4. Most data are Quench and color SU(2)

  5. Magnetic Degrees of Freedom and the Confinement • G.t’Hooft, Nucl.Phys. B190 (1981) 455 • H Shiba and T Suzuki. Phys. Lett. B (1994) 461 • A. Di Giacomo and G. Paffuti, Phys.Rev.D56,6816 (1997) • Kei-ichi Kondo, Phys.Rev.D58,105019 (1998) • ….. • J. Liao and E. Shuryak, Phys.Rev.Lett.,101, 162302 (2008) • M.N. Chernodub and V.I. Zakharov, Phys. Rev. Lett.98, 082002 (2007) • M.N. Chernodub, A. Nakamura and V.I. ZakharovPhys.Rev.D78:074021,2008 • M.N. Chernodub and V.I. Zakharov, Phys.Atom.Nucl.72:2136-2145,2009 (arXiv:0806.2874)

  6. Who has seen the Mag. Monopole ? N S Neither I nor you

  7. Spin System

  8. Singular Configuration, or Vortex No Monopole ! But it looks like ,,,

  9. Vortices related to the Confinemen are a 2-d Object and we needSurface Operator • S.Gukov and E.Witten, hep-th/0612073.E.Wittten, Fortsch. Phys. 55 (2007) 545. • A.DiGiacomo and V.I.Zakharov, hep-th/0806.29382

  10. Wilson Loops for a charge t -e +e R

  11. Surface Operator

  12. Center Projection Del Debbio, Faber, Giedt, Greensite, Olejnik Phys.Rev. D58, 1998, 094501 Landau gauge or Coulomb Gauge Gauge Rotation. Therefore non-local

  13. Plaquette pierced by a Vortex A Vortex pierces the Plaquette. 1-d Object (Charge) Wilson Loop Wilson Loop 2-d Object (Vortex Line)

  14. Vortex Removing Remember that By definition, now All vortices are fading out (by definition).

  15. Surface Operator Operator A Operator B

  16. Size Dependence of Operator A < > L A L

  17. Size Dependence of Operator A with/without the Vortices After removing Vortices L

  18. Fitting L

  19. Size Dependence of OperatorB < > L B L

  20. Size Dependence of Operator B with/without the Vortices < > L B L

  21. No Vortex Removal L=1 A A R R

  22. A A With and Without Vortices R R

  23. L=1,2,3 A A R R

  24. B B With and Without Vortices R

  25. Another Possibility (in Future)

  26. Transport Coefficients One of X-QCD Japan projects is to calculate Transport Coefficients at RHIC and LHC temperature regions and to see if they are different. What does “Perfect Fluid” mean ?

  27. History 1995 1995 1998 SU(3) Improved Action 2005 U(1)Coulomb and Confinement Phases SU(2) Two Definitions: F=log U F=U-1 The first calculation of eta/s on the lattice, which is consistento with KSS bound.

  28. c Viscosity by Lattice, 2007 h: shear viscosity s: Entroypy density Nakamura and Sakai

  29. Fluctuations in MC sweeps Standard Action Improved Action

  30. 中川君のデータ２

  31. One Talk, One Topics !This is SU(3) resuts ! Sorry ! Let us come back to SU(2) .

  32. Standard Plaq. Action

  33. With Multi-Hit

  34. With Multi-Hit + Vortex Removal

  35. Improve Action (Symanzik)

  36. Conclusion • QCD is a Quantum Field Theory. • QCD has a very special feature, the Confinement. • If a singular structure of the quantum field (gluon field) explains the confinement, it is very interesting (at least to me). • The surface operators feel Vortex. • Transport Coefficients change if we remove the Vortex. • We want to understand QGP natures in terms of the Surface operators in future.

  37. In other words, QCD/QGP physics provides an opportunity to see a new quantum field mechanism, the singularities on surfaces.

  38. Many Thanks Frithjof, Krzysztof and Christianfor this nice seminar !

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