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arXiv 0902.1658hep-th
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dS_3上的实时响应:拓扑AdS黑洞和气泡

Real time response on dS_3: the Topological AdS Black Hole and the Bubble

Jimmy A. Hutasoit, S. Prem Kumar, James Rafferty

摘要:

本文研究了dS_3 × S^1上N=4强耦合超对称Yang-Mills理论中的实时量子化子,其中费米子在圆周上具有反周期边界条件。当圆半径大于某个临界值时,对偶几何就是所谓的“拓扑AdS_5黑洞“。在这种背景下,应用子-Starbucks配方,我们计算延迟胶球传播子,它表现出一个无限的极点集,产生拓扑黑洞的拟正规频率。由于de Sitter边界的宇宙视界,传播子的虚部表现出与Gibbons-Hawking温度相关的热效应。我们还获得了R-电流衰减器,并发现在考虑了一个小的微妙之处后,Son-Starbucks处方产生了延迟的格林函数。在后期,扩散器不显示扩散行为。在圆半径的临界值以下,拓扑黑洞衰变为AdS_5“空泡”。使用高频WKB近似,我们表明,在这个阶段中的胶球扩散子在实轴上表现出极点。从黑洞到气泡的隧穿被解释为强子化跃迁。

英文摘要:

We study real time correlators in strongly coupled N=4 supersymmetric Yang-Mills theory on dS_3 x S^1, with antiperiodic boundary conditions for fermions on the circle. When the circle radius is larger than a critical value, the dual geometry is the so-called "topological AdS_5 black hole". Applying the Son- Starinets recipe in this background we compute retarded glueball propagators which exhibit an infinite set of poles yielding the quasinormal frequencies of the topological black hole. The imaginary parts of the propagators exhibit thermal effects associated with the Gibbons-Hawking temperature due to the cosmological horizon of the de Sitter boundary. We also obtain R-current correlators and find that after accounting for a small subtlety, the Son-Starinets prescription yields the retarded Green's functions. The correlators do not display diffusive behaviour at late times. Below the critical value of the circle radius, the topological black hole decays to the AdS_5 "bubble of nothing". Using a high frequency WKB approximation, we show that glueball correlators in this phase exhibit poles on the real axis. The tunnelling from the black hole to the bubble is interpreted as a hadronization transition.

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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