arXiv 2111.090102021-11hep-th

介子激发时间作为全息临界点的探针

Meson Excitation Time as a Probe of Holographic Critical Point

Ali Hajilou

备注：: 20 pages, 17 figures, Published in EPJC
发表信息：: Eur.Phys.J.C 83 (2023) 4, 301
DOI：: 10.1140/epjc/s10052-023-11453-7

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AI总结：

本文通过全息对偶研究强耦合等离子体中Wilson圈的时间演化，定义介子激发时间作为探针，发现快淬火和小夸克间距时该观测量能有效探测临界点。

摘要：

我们研究了在具有临界点的强耦合场论中，作为非局域可观测量的Wilson圈的期望值的时间演化，该场论在有限温度和有限化学势下，通过规范/引力对偶，对应于渐近AdS带电黑洞。由于向等离子体注入能量，温度和化学势增加到有限值，等离子体经历了一个非平衡过程。通过将介子激发时间$t_{ex}$定义为介子落入最终激发态的时间，我们研究了系统向临界点演化时，$t_{ex}$在临界点附近的行为。我们观察到，随着夸克间距离的增加，动力学临界指数平滑地增大。此外，对于慢淬火，我们获得了不同的动力学临界指数值，而对于快淬火，我们的动力学临界指数结果与通过研究准正则模所报道的结果一致。因此，这表明在该模型中，对于快淬火和较小的夸克间距离，规范不变的Wilson圈是探测临界点的良好非局域可观测量的探针。

英文摘要：

We study the time evolution of expectation value of Wilson loop as a non-local observable in a strongly coupled field theory with a critical point at finite temperature and nonzero chemical potential, which is dual to an asymptotically AdS charged black hole via gauge/gravity duality. Due to inject of energy into the plasma, the temperature and chemical potential increase to finite values and the plasma experiences an out-of-equilibrium process. By defining meson excitation time $t_{ex}$ as a time at which the meson falls into the final excited state, we investigate the behavior of $t_{ex}$ near the critical point as the system evolves towards the critical point. We observe that by increasing the interquark distance the dynamical critical exponent increases smoothly. Also, we obtain for slow quenches different values of the dynamical critical exponent, although for fast quenches our result for the dynamical critical exponent is in agreement with the one that is reported for studying the quasi-normal modes. Consequently, this indicates that in this model for fast quenches and small values of interquark distances the gauge invariant Wilson loop is a good non-local observable to probe the critical point.

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