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Energy Loss of a Rotating Quark from Gauge-String Duality

Energy Loss of a Rotating Quark from Gauge-String Duality. K. Bitaghsir Fadafan. Shahrood U. of Technology. First IPM meeting on LHC physics April 20-24 , 2009 Isfahan, IRAN. arXiv:0809.2869[hep-ph]. Why Quark Gluon Plasma is important?.

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Energy Loss of a Rotating Quark from Gauge-String Duality

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  1. Energy Loss of a Rotating Quark from Gauge-String Duality K. Bitaghsir Fadafan Shahrood U. of Technology First IPM meeting on LHC physics April 20-24 , 2009 Isfahan, IRAN

  2. arXiv:0809.2869[hep-ph]

  3. Why Quark Gluon Plasma is important? 1-Standard model predicts QCD deconfined phase transition 2-Cosmology  Quark-Hadron phase transition at the early universe Now we can study the QGP in the lab!!!

  4. RHIC physics -Brookhaven -Started in year 2000 -Collides Au Quark Gluon Plasma

  5. Classical gravity limit N = 4 Super-Yang-Mills theory in 4d with SU(NC) AdS/CFT correspondence Maldacena (1997), Gubser, Klebanov,Polyakov; Witten (1998) A string theory in 5d AdS Finite temperature Black hole in AdS5 Large NC and strong coupling limit YM observables at infinite NC and infinite coupling can be computed using classical gravity

  6. AdS5 CFT Moving ‘quarks’ using AdS/CFT 0 Endpoint of an open string on the boundary Massive particle A heavy quark in the strongly coupled plasma

  7. Drag force from gauge – string duality

  8. Black hole

  9. The metric of AdS_5 in the presence of a black hole Ansatz for rotating string Nambu-Goto action

  10. The constant of motion One special point on the spiralling string The lagrangian takes the form And the equations of motion One can obtain

  11. Numerical solution of e.o.m/ Spiralling string u_c

  12. Linear drag a) Linear drag Energy loss of rotating quark b) Vacuum radiation

  13. a) Linear drag

  14. vacuum radiation b) Vacuum radiation Mikhailov has derived an elegant and general result for radiation of an accelerating quark in N=4 SYM theory in vacuum. arXiv:hep-th/0305196 Circular motion:

  15. b) Vacuum radiation

  16. Crossover between drag force-dominated regime and acceleration-dominated regime Crossover

  17. Conclusions and summery We see the significant advantage offered by the analysis of the rotating quark. The energy loss in the acceleration-dominated regime is as if the quark is in vacuum. AdS/CFT provides powerful tools to understand dynamics of strong coupled gauge theories.

  18. Expect many more chapters to be written for the marriage between string theory and physics of QCD in extreme conditions.

  19. متشکرم

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