从全息原理得到的具有自旋的强耦合完美流体的状态方程

中文摘要 AI 辅助

我们利用全息原理推导了$2+1$维中具有有限自旋的强耦合相对论完美流体的状态方程。对偶引力描述由$AdS_4$中的旋转黑洞提供，其霍金温度、角速度和贝肯斯坦-霍金熵决定了边界流体的热力学性质。我们得到了状态方程并分析了其局部热力学稳定性，发现存在一个临界旋转，超过该旋转流体变得热力学不稳定，这为温度$T$和角速度$\omega$下强耦合夸克胶子等离子体的旋转提供了一个界限，即$\frac{4\pi T}{\omega}> 2.77239$。值得注意的是，同一引力解包含与第二个边界相关联的第二个黑洞。尽管该黑洞不旋转，但其对偶流体旋转并具有独特的“奇异”状态方程。我们的结果为具有有限自旋的强耦合物质提供了全息状态方程，并建立了黑洞旋转、内禀角动量与相对论流体热力学稳定性之间的直接联系。

英文摘要

We derive the equation of state of a strongly coupled relativistic perfect fluid with finite spin in $2+1$ dimensions using holography. The dual gravitational description is provided by a spinning black hole in $AdS_4$, whose Hawking temperature, angular velocity, and Bekenstein-Hawking entropy determine the thermodynamic properties of the boundary fluid. We obtain the equation of state and analyze its local thermodynamic stability, finding a critical rotation above which the fluid becomes thermodynamically unstable providing a bound for the rotation of a strongly coupled quark gluon plasma at temperature $T$ and angular velocity $ω$ given by $\frac{4πT}ω> 2.77239$. Remarkably, the same gravitational solution contains a second black hole associated with a second boundary. Although this black hole is non-spinning, its dual fluid rotates and possesses a distinct, ``exotic'' equation of state. Our results provide a holographic equation of state for strongly coupled matter with finite spin and establish a direct connection between black-hole rotation, intrinsic angular momentum, and the thermodynamic stability of relativistic fluids.

发表机构

• Universidad de Concepción（康塞普西翁大学）
• UNESP-Universidade Estadual Paulista（圣保罗州立大学）

机构由 AI 辅助整理，请以论文原文为准。