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arXiv 1002.2429hep-thhep-ph
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强耦合等离子体中的全息布朗运动和时间尺度

Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas

Ardian Nata Atmaja, Jan de Boer, Masaki Shigemori

摘要:

在AdS/CFT装置上研究了场论等离子体中重夸克的布朗运动,并讨论了布朗粒子与等离子体组分相互作用的时间尺度.特别地,平均自由程时间与布朗粒子所感受到的随机力的连通4点函数有关。通过全息计算四点函数,并对计算中出现的红外发散进行正则化,得到了平均自由程时间的一般公式,并将其应用于STU黑洞,STU黑洞对应于三个U(1)R-荷下的等离子体。结果表明,布朗粒子同时与多个等离子体组分发生碰撞。

英文摘要:

We study Brownian motion of a heavy quark in field theory plasma in the AdS/CFT setup and discuss the time scales characterizing the interaction between the Brownian particle and plasma constituents. In particular, the mean-free-path time is related to the connected 4-point function of the random force felt by the Brownian particle. By holographically computing the 4-point function and regularizing the IR divergence appearing in the computation, we write down a general formula for the mean-free-path time, and apply it to the STU black hole which corresponds to plasma charged under three U(1) R-charges. The result indicates that the Brownian particle collides with many plasma constituents simultaneously.

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