Time Dependent from AdS/CFT

International Workshop on Discovery Physics at the LHC

Horowitz, W.A.^1

Department of Physics, University of Cape Town, Private Bag X3, Rondebosch

7701, South Africa^1

关键词: Angular correlations;    Arbitrary dimension;    Average Distance;    Diffusive Brownian motions;    Time behavior;    Time dependent;    Time independents;    Weak couplings;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/878/1/012021/pdf
DOI  :  10.1088/1742-6596/878/1/012021

来源: IOP

【 摘 要 】

We present the first ever AdS/CFT calculation of for a light quark jet as a function of position or, equivalently, time. Our result does not suffer from the gamma factor blow up of the usual time-independent AdS/CFT heavy quark setup and is qualitatively similar to, but about a factor of 2/3 larger than, the light flavor result from Liu, Rajagopal, and Wiedemann. Our findings can be immediately implemented into any -based energy loss model. Our derivation relies on our calculation of the average distance squared, s2(t), travelled by the endpoint of a string falling in an AdS3-Schwarzschild spacetime. The early time behavior is ballistic, s2(t) ∼ t2, but the late time behavior is the usual diffusive Brownian motion, s2(t) ∼ t. These late time dynamics are universal and depend only on the near-horizon physics, which allows us to generalize our results to arbitrary dimensions and thus make contact with the physics explored by RHIC and LHC. Additionally, we find that AdS/CFT predicts angular ordering for radiation in a medium, just as in vacuum, and in contradistinction to weak-coupling. Finally, our results also imply, sensibly, that AdS/CFT predicts a smooth interpolation between the angular correlations of open heavy flavor and light flavor observables.