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arXiv 1909.03088hep-th
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增强强耦合等离子体中非局域观测量的高温行为:全息研究

High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study

Atanu Bhatta, Shankhadeep Chakrabortty, Suat Dengiz, Ercan Kilicarslan

摘要:

在这项工作中,我们进行全息分析,以研究与一致的\textit{boosted}强耦合大$N$热等离子体在$d$维的非局部可观测量。为了完成全息分析,合适的对偶体理论是$d+1$维\textit{boosted} AdS-Schwarzschild黑洞背景。特别地,我们计算了在特定时刻的边界处的纠缠宽度为$l$的带状几何形状内的高温增强等离子体的纠缠熵。利用测地线近似方法,研究了边界上的两点算子。为了分析升压对热等离子体以及相应地对两个非局部可观测量的影响,我们保持感兴趣区域的宽度平行和垂直于升压方向的对齐。我们发现,我们的结果显着修改相比,在未增强等离子体的二阶的助推速度$v$。更有趣的是,增强和纠缠宽度的相对取向在边界理论中对量化全息纠缠熵起着至关重要的作用。边界理论中的旋转对称性的破坏是由于等离子体沿着特定的平坦方向的推进引起的。

英文摘要:

In this work, we perform a holographic analysis to study non local observables associated to a uniformly \textit{boosted} strongly coupled large $N$ thermal plasma in $d$-dimensions. In order to accomplish the holographic analysis, the appropriate dual bulk theory turns out to be $d+1$ dimensional \textit{boosted} AdS-Schwarzschild blackhole background. In particular, we compute entanglement entropy of the boosted plasma at high temperature living inside a strip geometry with entangling width $l$ in the boundary at a particular instant of time. We also study the two-point correlators in the boundary by following geodesic approximation method. For analyzing the effect of boosting on the thermal plasma and correspondingly on both non local observables, we keep the alignment of the width of region of interest both parallel and perpendicular to the direction of the boost. We find our results significantly modified compared to those in un-boosted plasma up to the quadratic order of the boost velocity $v$. More interestingly, the relative orientation of the boost and the entangling width plays a crucial role to quantify the holographic entanglement entropy in the boundary theory. The breaking of rotational symmetry in the boundary theory due to the boosting of the plasma along a specific flat direction causes this interesting feature.

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