Calculating the jet quenching parameter in the plasma of NCYM theory from gauge/gravity duality

Abstract

A particular decoupling limit of non-extremal (D1, D3) brane bound state system of type IIB string theory is known to give the gravity dual of space-space non- commutative Yang-Mills (NCYM) theory at finite temperature. We use a string probe in this background to compute the jet quenching parameter in the strongly coupled plasma of hot non-commutative Yang-Mills theory in (3+1)-dimensions from gauge/gravity duality. We give the expressions for the jet quenching parameter for both small and large non-commutativity. For small non-commutativity, we find that the value of the jet quenching parameter gets reduced from its commutative value. The reduction is enhanced with temperature as T^{7} for fixed non-commutativity and the fixed 't Hooft coupling. We further generalize the results for the non-commutative Yang-Mills theories in diverse dimensions.

Latex file,12 pages,No figure; v2: 17 pages, Motivation, various clarifications,references added. An estimation of the correction with the known experimental bound on $\theta$ is given, v3: added more clarifications, one reference and acknowledgment,version to appear in Phys. Rev. D

References in corpus (14)

• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Calculating the Jet Quenching Parameter from AdS/CFT
• D3-D7 Quark-Gluon Plasmas
• On jet quenching parameters in strongly coupled non-conformal gauge theories
• On Drag Forces and Jet Quenching in Strongly Coupled Plasmas
• Jet quenching at finite `t Hooft coupling and chemical potential from AdS/CFT
• Jet Quenching Parameter in Medium with Chemical Potential from AdS/CFT
• Drag Force, Jet Quenching, and AdS/QCD
• Holography and Unquenched Quark-Gluon Plasmas
• Holography and drag force in thermal plasma of non-commutative Yang-Mills theories in diverse dimensions
• Drag force in a hot non-relativistic, non-commutative Yang-Mills plasma
• Wilson loops in (p+1)-dimensional Yang-Mills theories using gravity/gauge theory correspondence
• Energy loss and jet quenching parameter in a thermal non-relativistic, non-commutative Yang-Mills plasma
• Non-commutative Holographic QCD and Jet Quenching Parameter

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• String/$\mathcal{M}$-theory Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology