Effect of back reaction on light quark energy loss in heavy quark cloud
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Regular Article - Theoretical Physics
Effect of back reaction on light quark energy loss in heavy quark cloud Zi-qiang Zhang1,2,a , De-fu Hou2,b 1 2
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
Received: 7 April 2020 / Accepted: 13 October 2020 © The Author(s) 2020
Abstract We study the effect of back reaction on the energy loss of light quarks in strongly coupled N = 4 supersymmetric Yang–Mills (SYM) plasma, by using the AdS/CFT correspondence. We perform the analysis within falling string and shooting string approaches, respectively. It is shown that the back reaction, arising from the presence of static heavy quarks uniformly distributed over SYM, enhances the energy loss, in agreement with the findings of the drag force and jet quenching parameter.
1 Introduction It has been widely accepted that the ultra-relativistic nucleus– nucleus collisions at the Relativistic Heavy-Ion Collider (RHIC) and Large Hadron Collider (LHC) have created a new type of matter, called quark–gluon plasma (QGP). One of the striking features of QGP is jet quenching: when energetic jet partons pass through QGP, they interact with it and thus lose their energy (for recent reviews of jet quenching, see for example [1,2]). On the other hand, a lot of experimental research indicates that QGP behaves as a strongly coupled, near-perfect fluid [3,4]. Therefore, it is of great interest to study the jet quenching in strongly coupled settings. In this regard, the conjectured AdS/CFT duality between type IIB string theory, formulated on AdS5 × S 5 and N = 4 SYM theories in four dimensions [5–7], provides a powerful tool for studying various aspects of QGP (see [8] for a recent review with many phenomenological applications). Already, the jet quenching of heavy quarks traversing in N = 4 SYM plasma has been studied by the drag force extracted from a trailing string moving in the dual geometry [9,10]. On the other hand, the energy loss of light quarks traveling through the same plasma has been analyzed in various ways, such as a e-mail:
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the jet quenching parameter [11,12], falling string [13–17], and shooting string [18,19] approaches. The purpose of this paper is to study the effect of back reaction on the energy loss of light quarks. As is well known, the QGP is comprised of a large amount of free quarks and gluons. That would mean that, if one analyzes the dynamics of a quark, the back reaction of other quarks may be taken into account. But as far as we know, it remains difficult to conduct such a research by considering the back reacting of the string on the plasma (see [20] for some progress in this direction). However, Chakrabortty recently proposed [21] a relatively simple back reacted geometry, parameterized by the mass of the black hole and long string density. Specifically, one co
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