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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 K. Bitaghsir Fadafan Shahrood U. of Technology First IPM meeting on LHC physics April 20-24 , 2009 Isfahan, IRAN
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!!!
RHIC physics -Brookhaven -Started in year 2000 -Collides Au Quark Gluon Plasma
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
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
The metric of AdS_5 in the presence of a black hole Ansatz for rotating string Nambu-Goto action
The constant of motion One special point on the spiralling string The lagrangian takes the form And the equations of motion One can obtain
Linear drag a) Linear drag Energy loss of rotating quark b) Vacuum radiation
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:
Crossover between drag force-dominated regime and acceleration-dominated regime Crossover
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.
Expect many more chapters to be written for the marriage between string theory and physics of QCD in extreme conditions.