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Holographic thermalization

机译:全息热化

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摘要

We consider the transition of a quantum field system toward the state of thermal equilibrium based on the holographic description using the duality between the quantum field system in the d-dimensional Minkowski space and the gravity theory in the (d+1)-dimensional anti-de Sitter space. In this construction, the thermalization in the d-dimensional space is described in the holographic language as the formation of a black hole in the (d+1)-dimensional space. We use a holographic model of thermalization of the quark-gluon plasma describing the black hole formation by the Vaidya metric. We show that evaporation of the black hole, also modeled by the Vaidya metric, leads to an interesting effect in the d-dimensional space: thermalization occurs only at small distances and is impossible in the infrared region. In the considered model, the thermal behavior at small distances is possible only during a certain time, after which the dethermalization process begins.
机译:我们基于全息描述,使用d维Minkowski空间中的量子场系统与(d + 1)维反空间中的引力理论之间的对偶性,考虑了量子场系统向热平衡状态的过渡。 de Sitter空间。在这种结构中,用全息语言将d维空间中的热化描述为在(d + 1)维空间中黑洞的形成。我们使用夸克-胶子等离子体热化的全息模型,通过Vaidya度量描述了黑洞的形成。我们表明,黑洞的蒸发(也由Vaidya度量建模)导致在d维空间中产生有趣的效果:热化仅发生在很小的距离处,而在红外区域是不可能的。在考虑的模型中,只有在一定时间内才可能在小距离处发生热行为,此后才开始进行除热过程。

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