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

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

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

4. 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

5. − Classical colored plasma
1) A colored Coulomb interaction
2) Equations of motion ; Wong equations
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6. Color Charges − Canonical variables − Canonical Poisson bracket
− Color charges for SU(2)
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7. − Quadratic and cubic Casimirs
− The phase space volume element for SU(2), SU(3)
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8. − Integration of color charge(s)
: SU(2) : SU(3)
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9. Structure factors − Correlation function in phase space
− The pair and direct correlation function .
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10. − Color charge Legendre transformation : SU(2)
− Ornstein-Zernicke relation for each color partial wave
− Density(l=0) and charge(l=1) structure factor
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11. − The structure factor
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12. With three integrals and
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13. − Molecular dynamics simulation : SU(2)
− The radial distribution
function
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14. − Density (l=0) and charge (l=1) structure factors
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15. Energy loss − An SU(2) colored particle traveling in the sQGP
− The energy loss per unit length
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16. − Linear response
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17. − The fluctuation-dissipation theorem
− The final result
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18. − SU(2) plasmon
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19. − Energy loss
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20. − Energy loss
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21. 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

22. − Color charges for SU(3)
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23. − Integration of 5 color chargesB
SU(2)
SU(3)
2010 May 18