旋转强耦合等离子体中重夸克可观测量对参考系的依赖性

中文摘要 AI 辅助

在真正旋转的全息背景中，Wilson环可观测量通常是为相对于旋转等离子体静止的夸克-反夸克对构造的。我们通过比较同一旋转几何的两种描述来研究这一选择如何影响重夸克扇区：共转参考系（其中夸克对相对于等离子体静止）和静态参考系（其中夸克对相对于静态观察者静止）。我们考虑渐近全局AdS中的等旋转Myers-Perry黑洞，并研究沿旋转方向纵向和横向取向的Wilson环。我们分析了在相应参考系中测量的固定热力学温度下的有效弦张力、物理夸克-反夸克间距和重夸克势。我们发现旋转响应对参考系有强烈的依赖性。在共转参考系中，纵向和横向构型在定性上表现出不同的响应：旋转可以减小或增大间距和有效弦张力，具体取决于取向，对于后者还取决于体位置和参数范围。重夸克势在两种取向中都随角速度增大而增加。相比之下，在静态参考系中，有效张力、物理间距和最大间距在两种取向中都随角速度增大而减小，而重夸克势则增大。因此，各向异性响应在共转参考系中显著更强，无论在定性还是定量上都是如此。在两个参考系中，旋转修正通常在更高温度下变得不那么明显。这些结果表明，夸克对静止的参考系是旋转全息系统中Wilson环可观测量物理规格的重要组成部分。

英文摘要

In genuinely rotating holographic backgrounds, Wilson-loop observables are usually constructed for a quark--antiquark pair static with respect to the rotating plasma. We investigate how this choice affects the heavy-quark sector by comparing two descriptions of the same rotating geometry: a corotating frame, in which the pair is static with respect to the plasma, and a static frame, in which it is static with respect to the static observer. We consider an equal-rotation Myers--Perry black hole in asymptotically global AdS and study Wilson loops oriented longitudinally and transversely to the rotation. We analyze the effective string tension, physical quark--antiquark separation, and heavy-quark potential at fixed thermodynamic temperature measured in the corresponding frame. We find a strong frame dependence of the rotational response. In the corotating frame, the longitudinal and transverse configurations respond qualitatively differently: rotation can either decrease or increase the separation and effective string tension, depending on orientation and, for the latter, on the bulk position and parameter range. The heavy-quark potential increases with angular velocity in both orientations. In the static frame, by contrast, the effective tension, physical separation, and maximal separation decrease with angular velocity in both orientations, while the heavy-quark potential increases. Thus, the anisotropic response is substantially stronger in the corotating frame, both qualitatively and quantitatively. In both frames, rotational modifications generally become less pronounced at higher temperature. These results show that the frame in which the quark pair is static is an essential part of the physical specification of Wilson-loop observables in rotating holographic systems.

发表机构

• Damghan University（达姆甘大学）

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