2020
DOI: 10.1007/jhep07(2020)146
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Drag force to all orders in gradients

Abstract: We study the energy loss of a heavy quark slowly moving through an evolving strongly coupled plasma. We use the linearized fluid/gravity correspondence to describe small perturbations of the medium flow with general spacetime dependence. This all order linearized hydrodynamics results in a drag force exerted on a heavy quark even when it is at rest with the fluid element. We show how the general contribution to the drag force can be derived order by order in the medium velocity gradients and provide explicit r… Show more

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Cited by 22 publications
(14 citation statements)
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“…• First, it is interesting to consider a heavy quark moving in a viscous neutral flow background [62][63][64][65], which is dual to an open string probing slowly-varying AdS black brane [66]. Such a study would be helpful in understanding fluctuation-dissipation relations for a nonequilibrium state [43,67,68].…”
Section: Discussionmentioning
confidence: 99%
“…• First, it is interesting to consider a heavy quark moving in a viscous neutral flow background [62][63][64][65], which is dual to an open string probing slowly-varying AdS black brane [66]. Such a study would be helpful in understanding fluctuation-dissipation relations for a nonequilibrium state [43,67,68].…”
Section: Discussionmentioning
confidence: 99%
“…In this way, [15] extends the idea to describe interactions of a probe with a hydrodynamically evolving matter within the same gradient expansion introduced in holographic models for strongly interacting plasmas, see e.g. [41][42][43][44][45][46].…”
mentioning
confidence: 94%
“…We will use these results to compute the drag force, including a couple of contributions proportional to the acceleration of the quark and the jerk, or acceleration rate. The first can be interpreted as originating from a thermal correction to the mass of the quark, while the second can be thought of as a combination of the Abraham-Lorentz force [36,37], due to Larmor radiation, and a viscous contribution produced by the surrounding fluid [38]. The two contributions add up giving the total value found in [39].…”
Section: Jhep10(2020)119mentioning
confidence: 99%
“…Therefore, we can interpret K UV as a modification of the thermal mass due to UV physics. Finally, the coefficient of the jerk or acceleration rate, ∂ 3 t x, computed for the AdS 5 black brane in [39], can be interpreted as a combination of the Abraham-Lorentz force produced by the emission of Larmor radiation (see [36,37]) and a viscous contribution from the surrounding plasma that has been computed in [38] following the method developed in [45]. In a conformal theory in vacuum the viscous part is absent and the coefficient of the jerk term is √ λ/(2π).…”
Section: Force Acting On a Slowly Moving Quarkmentioning
confidence: 99%