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arXiv 2301.01322hep-th
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来自全息方法的旋转夸克-胶子等离子体的位形熵

Configuration entropy of a rotating quark-gluon plasma from holography

Nelson R. F. Braga, Luiz F. Ferreira, Octavio C. Junqueira

AI总结:

本研究利用旋转等离子体的全息描述,以旋转AdS黑洞为对偶体计算不同转速和温度下的位形熵,发现其随转速升高且在接近光速时发散,结果与黑洞几何变化及重介子解离的相关结论一致。

摘要:

位形熵(Configuration Entropy,CE)为空间局域化的物理系统的稳定性提供了一种度量。CE的升高与系统不稳定性的增加相关。在本研究中,我们应用了一种新近提出的旋转等离子体的全息描述,以研究等离子体具有角动量时CE的行为。考虑等离子体的全息对偶体,即旋转的AdS黑洞,我们在不同的旋转速度和温度下计算了CE。所得结果表明,CE不仅随旋转速度$v$升高,尤其值得注意的是,当$v$趋近于光速($v \to 1$)时,CE会出现发散。我们对所得结果展开了讨论,表明这些结果与旋转导致的黑洞几何结构变化以及对偶等离子体体积的相应变化是一致的。我们还将本研究的结果与一项新近工作的结果建立了关联,该工作表明等离子体中重介子的完全解离表现为CE中的正奇点。

英文摘要:

The configuration entropy (CE) provides a measure of the stability of physical systems that are spatially localized. An increase in the CE is associated with an increase in the instability of the system. In this work we apply a recently developed holographic description of a rotating plasma, in order to investigate the behaviour of the CE when the plasma has angular momentum. Considering the holographic dual to the plasma, namely a rotating AdS black hole, the CE is computed at different rotational speeds and temperatures. The result obtained shows not only an increase with the rotational speed $ v$ but, in particular, a divergence of the CE as $v$ approaches the speed of light: $\, v \to 1 $. We discuss the results obtained showing that they are consistent with the change in the geometry of the black hole caused by the rotation and the corresponding variation of the volume of the dual plasma. We also connect the results found here with those obtained in a recent work, where it was shown that the complete dissociation of heavy mesons in a plasma is represented by a positive singularity in the CE.

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