Heavy-quark energy loss and thermalization in a strongly coupled supersymmetric Yang-Mills plasma

Abstract

Using the AdS/CFT correspondence, we compute the radiative energy loss of a slowly decelerating heavy quark with mass M moving through a supersymmetric Yang Mills (SYM) plasma at temperature T at large t'Hooft coupling λ. The calculation is carried out in terms of perturbation in √ λT /M, and the rate of the energy loss is computed up to second order. We explain the physical meaning of each correction and estimate the thermalization time of a heavy quark moving in a strongly-coupled plasma.

Stochastic string motion above and below the world sheet horizon

“…(3.39), the heavy quark becomes effectively lighter as the velocity increases. This reduction of the kinetic mass coincides with the result argued in [28].…”

The finite ’t Hooft coupling correction on the jet quenching parameter in a $ \mathcal{N}=4 $ super Yang-Mills plasma

“…This proposal has attracted lots of interest. Alternately, the energy loss and jet quenching problem was also studied from a drag force on the brane by several authors [17][18][19][20][21]. Their extracted jet quenching parameter is also proportional to √ λT 3 but with a smaller coefficient (by 20 percent).…”

Conformal transformations and strings for an accelerating quark-antiquark pair in AdS 3

“…The similar accelerating open string solution has been constructed by analyzing the Nambu-Goto action in the Rindler spacetime which is given by a coordinate transformation from the AdS spacetime [9]. It has been studied that the energy loss via the moving open string in AdS 5 -Schwarzschild spacetime is related with the appearance of the worldsheet horizon [10,11] and the worldsheet Hawking radiation generates the stochastic motion of the quark [12].…”

“…[5].The similar accelerating open string solution has been constructed by analyzing the Nambu-Goto action in the Rindler spacetime which is given by a coordinate transformation from the AdS spacetime [9]. It has been studied that the energy loss via the moving open string in AdS 5 -Schwarzschild spacetime is related with the appearance of the worldsheet horizon [10,11] and the worldsheet Hawking radiation generates the stochastic motion of the quark [12].The accelerating string solution [8] associated with a uniformly accelerating quark-antiquark pair has been constructed [13,14] as a particular instance from the generic string solution [5] dual to a single quark moving on an arbitrary trajectory. The generic string solution has been indirectly shown [5] to extremize the action, and further has been directly substituted into the string equation of motion and confirmed to solve it [15].…”