Calculating the jet quenching parameter in the plasma of NCYM theory from gauge/gravity duality
May, 2011Citations per year
Abstract: (arXiv)
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.Note:
- 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
- 11.25.Mj
- 12.38.Mh
- jet: quenching
- gravitation: duality
- gauge field theory: Yang-Mills
- plasma: strong coupling
- string model: Type IIB
- noncommutative
- finite temperature
- membrane model
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