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arXiv 0912.3256hep-thhep-lathep-phnucl-th
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基本物质流体力学

Hydrodynamics of fundamental matter

Francesco Bigazzi, Aldo L. Cotrone, Javier Tarrio

摘要:

在Veneziano极限下,计算了N=4的强耦合SYM等离子体与无质量基本物质耦合的一阶和二阶输运系数。的结果,包括除其他外的体积粘度和一些松弛时间的值,在下一个领先的顺序中的风味贡献。发现体积粘度饱和Buchel边界。这一结果也被捕获的一个有效的单标量五维全息双在Chamblin-Reall类,它建议持有,在小变形的限制,一般等离子体与重力场,每当领先的保形性破坏的影响是由边缘(IR)相关的运营商。这个建议,然后扩展到其他关系的流体动力学系数,这是证明是普遍的每一个非共形等离子体的双重Chamblin-Reall-like描述。我们的分析扩展到任何强耦合的规范理论描述的低能动力学的Nc>>1的D3-膜在一个通用的卡-丘锥的尖端。基本场是通过1<<Nf<<Nc均匀涂抹的D ~ 7-膜叠加的。

英文摘要:

First and second order transport coefficients are calculated for the strongly coupled N=4 SYM plasma coupled to massless fundamental matter in the Veneziano limit. The results, including among others the value of the bulk viscosity and some relaxation times, are presented at next-to-leading order in the flavor contribution. The bulk viscosity is found to saturate Buchel's bound. This result is also captured by an effective single-scalar five-dimensional holographic dual in the Chamblin-Reall class and it is suggested to hold, in the limit of small deformations, for generic plasmas with gravity duals, whenever the leading conformality breaking effects are driven by marginally (ir)relevant operators. This proposal is then extended to other relations for hydrodynamic coefficients, which are conjectured to be universal for every non-conformal plasma with a dual Chamblin-Reall-like description. Our analysis extends to any strongly coupled gauge theory describing the low energy dynamics of Nc>>1 D3-branes at the tip of a generic Calabi-Yau cone. The fundamental fields are added by means of 1<<Nf<<Nc homogeneously smeared D7-branes.

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