Drag force in a string model dual to large-<i>N</i>QCD

Talavera, P.

doi:10.1088/1126-6708/2007/01/086

Cited by 36 publications

(35 citation statements)

References 38 publications

(53 reference statements)

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“…This is because the color charge in the low T states of the theory is always confined inside hadrons, hence the flux lines emanating from the charged probe cannot end on anywhere in the medium, thus one does not expect any drag associated with interactions with the medium. A similar fact in the case of linear constant motion of a quark was observed in [24]. The dual gravity theory should be able to reproduce this feature for consistency of the gauge-gravity correspondence, as we confirm in this section.…”

Section: Rotating String Solutionsupporting

confidence: 84%

Rotating strings and energy loss in non-conformal holography

Ali-Akbari

Gürsoy

2012

J. High Energ. Phys.

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Abstract:We study the energy lost by an accelerating quark probe in the quark-gluon plasma produced in the heavy ion collisions in an approximate setting where the acceleration of the probe is due to uniform circular motion. The energy loss rate of the rotating probe is calculated at strong coupling in the confining SU(N ) gauge theory based on N D4 branes on a circle, using the rotating string solutions in the dual gravitational background. The system is known to exhibit a confinement-deconfinement transition at a finite temperature T c . We investigate energy loss both in the low and the high T phases. The high T phase is similar to the previously studied case of the N = 4 plasma, yet we find differences due to non-conformality of the underlying theory. The low T phase, on the other hand exhibits novel interesting behavior: We find a dual gravitational mechanism that yields a lower bound on the emitted energy of the rotating quark, proportional to the mass gap in the glueball spectrum. The low T energy loss is argued to be completely due to glueball brehmstrahlung, hence the energy loss rate calculated here determines the Lienard potential for syncrotron radiation in this confining gauge theory at strong coupling.

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Section: Rotating String Solutionsupporting

confidence: 84%

Rotating strings and energy loss in non-conformal holography

Ali-Akbari

Gürsoy

2012

J. High Energ. Phys.

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“…It is straightforward to generalize the drag force calculation of [3,4] to the backgrounds described above. Various generalizations exist in the literature, for example [29,30,31]. The one we will describe here is quite a modest extension of previously published results, which allows for an arbitrary dependence on the scalar field φ I coming from a Kaluza-Klein reduction of the ten dimensional Dilaton and metric.…”

Section: The Trailing Stringmentioning

confidence: 89%

Universality of the diffusion wake in the gauge-string duality

Gubser

Yarom

2008

Phys. Rev. D

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As a particle moves through a fluid, it may generate a laminar wake behind it. In the gauge-string duality, we show that such a diffusion wake is created by a heavy quark moving through a thermal plasma and that it has a universal strength when compared to the total drag force exerted on the quark by the plasma. The universality extends over all asymptotically anti-de Sitter supergravity constructions with arbitrary scalar matter. We discuss how these results relate to the linearized hydrodynamic approximation and how they bear on our understanding of di-hadron correlators in heavy ion collisions.

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“…In this case, from (3. 19) we see that as a consequence of the time variation of the fluid velocity there is a force acting on the quark, pushing it in the z-direction, namely…”

Section: A Quark At Rest In a Fluid That Is Instantaneously At Restmentioning

confidence: 96%

“…We now determine the contributions of these canonical momentum fluxes to the drag force on the heavy quark at the boundary, which is to say we take the σ → ∞ limit. The terms bσ b 2 σ 2 +1 and π 2 −tan −1 (bσ) vanish in this limit, and the contribution to the drag force that is first order in gradients is given by 19) with the t component of the force given by f t…”

Section: Drag Force In the Instantaneous Fluid Rest Framementioning

confidence: 99%

Effects of fluid velocity gradients on heavy quark energy loss

Lekaveckas

Rajagopal

2014

J. High Energ. Phys.

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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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Drag force in a string model dual to large-NQCD

Cited by 36 publications

References 38 publications

Rotating strings and energy loss in non-conformal holography

Rotating strings and energy loss in non-conformal holography

Universality of the diffusion wake in the gauge-string duality

Effects of fluid velocity gradients on heavy quark energy loss

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