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arXiv 0901.2338hep-th
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AdS/CFT中的热噪声和随机弦

Thermal Noise and Stochastic Strings in AdS/CFT

Dam T. Son, Derek Teaney

备注：
29 Pages and six figures, typos fixed, references added
发表信息：
JHEP 0907:021,2009
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摘要：

通过研究平衡重夸克弦的动力学，我们阐明了AdS/CFT中热噪声的结构。使用Kruskal扩展的对应生成的动态的场论上的Keldysh轮廓，我们表明，运动的字符串是由经典的运动方程与随机边界条件的拉伸地平线。随机边界条件的形式与该表面上的耗散一致，并且通过积分拉伸视界内部的波动来找到。通过求解涨落弦的运动方程，我们确定了边界夸克上的无规力的全频率依赖性，并表明它与频率依赖性耗散是一致的。我们进一步表明，随机运动再现散装散装两点函数的Kruskal形式主义。这些原来是有关通常推迟散装散装传播KMS关系。最后，我们分析了随机方程，并给出了一个整体图片的随机边界力作为一个触发器的拖尾字符串的解决方案。基本的形式体系可以应用于引力子、引力子和其他场的涨落。

英文摘要：

We clarify the structure of thermal noise in AdS/CFT by studying the dynamics of an equilibrated heavy quark string. Using the Kruskal extension of the correspondence to generate the dynamics of the field theory on the Keldysh contour, we show that the motion of the string is described by the classical equations of motion with a stochastic boundary condition on the stretched horizon. The form of the stochastic boundary condition is consistent with the dissipation on this surface and is found by integrating out the fluctuations inside of the stretched horizon. Solving the equations of motion for the fluctuating string we determine the full frequency dependence of the random force on the boundary quark and show that it is consistent with the frequency dependent dissipation. We show further that the stochastic motion reproduces the bulk to bulk two point functions of the Kruskal formalism. These turn out to be related to the usual retarded bulk to bulk propagator by KMS relations. Finally we analyze the stochastic equations and give a bulk picture of the random boundary force as a flip-flopping trailing string solution. The basic formalism can be applied to the fluctuations of gravitons, dilatons, and other fields.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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