Classical strongly coupled quark-gluon plasma

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Presentation transcript:

Classical strongly coupled quark-gluon plasma 2010 May 18 Sungtae Cho Institute of Physics and Applied Physics Yonsei University 2010 May 18

Outline − Introduction − Color charges − Structure factor − Energy loss − Conclusion 2010 May 18

B. Gelman, E. Shuryak, and I. Zahed, − This talk is based on B. Gelman, E. Shuryak, and I. Zahed, Phys. Rev. C 74, 044908 (2006) Phys. Rev. C 74, 044909 (2006) S. Cho and I. Zahed, Phys. Rev. C 79, 044911 (2009) S. Cho and I. Zahed, Phys. Rev. C 80, 014906 (2009) S. Cho and I. Zahed, arXiv : 0909.4725 S. Cho and I. Zahed, arXiv : 0910.1548 S. Cho and I. Zahed, arXiv : 0910.2666 2010 May 18

Introduction − Quark gluon plasma (QGP) : a weakly coupled gas : a strongly coupled liquid − Strongly coupled quark-gluon plasma (sQGP) 1) The relativistic hydrodynamics 2) N=4 Super Yang-Mills theory 3) The model of classical strongly coupled colored plasma 2010 May 18

− Classical colored plasma 1) A colored Coulomb interaction 2) Equations of motion ; Wong equations 2010 May 18

Color Charges − Canonical variables − Canonical Poisson bracket − Color charges for SU(2) 2010 May 18

− Quadratic and cubic Casimirs − The phase space volume element for SU(2), SU(3) 2010 May 18

− Integration of color charge(s) : SU(2) : SU(3) 2010 May 18

Structure factors − Correlation function in phase space − The pair and direct correlation function . 2010 May 18

− Color charge Legendre transformation : SU(2) − Ornstein-Zernicke relation for each color partial wave − Density(l=0) and charge(l=1) structure factor 2010 May 18

− The structure factor 2010 May 18

With three integrals and 2010 May 18

− Molecular dynamics simulation : SU(2) − The radial distribution function 2010 May 18

− Density (l=0) and charge (l=1) structure factors 2010 May 18

Energy loss − An SU(2) colored particle traveling in the sQGP − The energy loss per unit length 2010 May 18

− Linear response 2010 May 18

− The fluctuation-dissipation theorem − The final result 2010 May 18

− SU(2) plasmon 2010 May 18

− Energy loss 2010 May 18

− Energy loss 2010 May 18

Conclusion − Classical strongly coupled quark-gluon plasma 1) Color charges 2) Structure factor 3) Energy loss − Outlook 1) Real SU(3) multicomponent QGP 2) Quantum effects 2010 May 18

− Color charges for SU(3) 2010 May 18

− Integration of 5 color charges B SU(2) SU(3) 2010 May 18