Moving quark in a general fluid dynamical flow

Abstract:We use holographic duality to analyze the drag force on, and consequent energy loss of, a heavy quark moving through a strongly coupled conformal fluid with non-vanishing gradients in its velocity and temperature. We derive the general expression for the drag force to first order in the fluid gradients. Using this general expression, we show that a quark that is instantaneously at rest, relative to the fluid, in a fluid whose velocity is changing with time feels a nonzero force. And, we show that for a quark that is moving ultra-relativistically, the first order gradient "corrections" become larger than the zeroth order drag force, suggesting that the gradient expansion may be unreliable in this regime. We illustrate the importance of the fluid gradients for heavy quark energy loss by considering a fluid with one-dimensional boost invariant Bjorken expansion as well as the strongly coupled plasma created by colliding sheets of energy.

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“…And, indeed our results for the drag force that we shall present in section 3 do differ from those in refs. [39,40].…”

Section: Jhep02(2014)068mentioning

confidence: 99%

Effects of fluid velocity gradients on heavy quark energy loss

Lekaveckas

Rajagopal

2014

J. High Energ. Phys.

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“…such that in the limit u → 1 both w → 0 and ξ → 0 in such a way so that the ratio w/ ξ → 0 [25]. Using (13), the corresponding equation for these fluctuations turns out to be,…”

Section: Near Horizon Region (U ∼ 1)mentioning

confidence: 99%

Quantum fluctuations and thermal dissipation in higher derivative gravity

Roychowdhury

2015

Nuclear Physics B

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In this paper, based on the AdS 2 /CF T 1 prescription, we explore the low frequency behavior of quantum two point functions for a special class of strongly coupled CFTs in one dimension whose dual gravitational counterpart consists of extremal black hole solutions in higher derivative theories of gravity defined over an asymptotically AdS space time. The quantum critical points thus described are supposed to correspond to a very large value of the dynamic exponent (z → ∞). In our analysis, we find that quantum fluctuations are enhanced due to the higher derivative corrections in the bulk which in turn increases the possibility of quantum phase transition near the critical point. On the field theory side, such higher derivative effects would stand for the corrections appearing due to the finite coupling in the gauge theory. Finally, we compute the coefficient of thermal diffusion at finite coupling corresponding to Gauss Bonnet corrected charged Lifshitz black holes in the bulk. We observe an important crossover corresponding to z = 5 fixed point. *

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“…The motion of a quark has been studied in different literature [7][8][9][10][11][12][13][14][15][16][17] by AdS/QCD. In [18], the second correction of a radial coordinate has been discussed where the coefficient of such a correction is called the deformation parameter.…”

Section: Introductionmentioning

confidence: 99%

Drag force on a moving heavy quark with deformed string configuration

Tahery¹,

Chen²

2022

Commun. Theor. Phys.

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To study drag force on a moving heavy quark through a plasma, we use a deformed AdS space-time, in which deformation parameter c describes non-conformality in AdS/QCD. In this case the quark is mapped to a probe string in the AdS space. Considering probable contribution of deformation parameter in the probe string, we apply a general form of c-dependent string ansatz in the drag force computation. Then we find the acceptable value of this parameter as it satisfies QCD calculations. Using this result, we also discuss diffusion constant which is in agreement with phenomenological result for non-relativistic limit. Also we show that while in absence of deformation parameter, probe string is a strictly increasing function of radial coordinate, the c-dependent probe string has a maximum value versus z.

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Moving quark in a general fluid dynamical flow

Cited by 7 publications

References 16 publications

Effects of fluid velocity gradients on heavy quark energy loss

Effects of fluid velocity gradients on heavy quark energy loss

Quantum fluctuations and thermal dissipation in higher derivative gravity

Drag force on a moving heavy quark with deformed string configuration

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