Abstract
We holographically study the effect of back reaction on the hydrodynamical properties of $$ \mathcal{N}=4 $$ strongly coupled super Yang-Mills (SYM) thermal plasma. The back reaction we consider arises from the presence of static heavy quarks uniformly distributed over $$ \mathcal{N}=4 $$ SYM plasma. In order to study the hydrodynamical properties, we use heavy quark as well as heavy quark-antiquark bound state as probes and compute the jet quenching parameter, screening length and binding energy. We also consider the rotational dynamics of heavy probe quark in the back-reacted plasma and analyse associated energy loss. We observe that the presence of back reaction enhances the energy-loss in the thermal plasma. Finally, we show that there is no effect of angular drag on the rotational motion of quark-antiquark bound state probing the back reacted thermal plasma.
Highlights
JHEP05(2016)094 high transverse momentum due to the medium induced scattering has been first prescribed in [24]
We holographically study the effect of back reaction on the hydrodynamical properties of N = 4 strongly coupled super Yang-Mills (SYM) thermal plasma
Having discussed the generic features of the radial profile of the rotating string, we study the a holographic estimation of the rate of energy loss of a heavy probe quark rotating in the back reacted N = 4 SYM plasma
Summary
Following the holographic prescription given in [24], we compute the jet quenching parameter (q) and study the effect of the back reaction on it. In field theoretic point of view, the connection between the jet quenching parameter and the expectation value of light-like Wilson loop in the adjoint representation is established in the following way [66],. The self energy contribution can be holographically realised by considering the world-sheets of two free straight fundamental strings both hanging from the boundary to the horizon. Within the choice of gauge x− = ξ0, u = ξ1, the self-contribution reads as, iL− u+ At this point we replace E in terms of quark-antiquark pair separation distance L. We find that the parameter qincreases monotonically as we tune up the value of quark density from zero to some finite number This implies that the presence of heavy static quarks back-reacting the plasma enhances the energy loss due to the suppression of the external heavy probes moving with high transverse momentum. To summaries we notice that the jet quenching phenomenon enhances as we increase the back reaction as well as the temperature of the plasma
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