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旋转全息 QCD 中的热力学标度与弦动力学

Thermodynamic scaling and string dynamics in rotating holographic QCD

Leila Shahkarami, Farid Charmchi

arXiv 2607.12906首次发表:更新:

AI 中文总结

研究在全息 QCD 模型中有限角速度对相结构和施温格对产生的影响,通过推进构造引入旋转,用巨势等研究相图,通过有效弦张力研究禁闭,用势分析方法研究施温格效应,揭示旋转在热力学与弦部分作用不同,产生新效应。

AI 中文摘要

我们在基于爱因斯坦 - 麦克斯韦 - 伸缩子框架的全息 QCD 模型中研究有限角速度对相结构和施温格对产生的影响。通过推进构造引入旋转,从相应静态背景生成稳态旋转几何。首先用巨势及响应函数研究热力学相图,发现旋转下所有热力学相边界满足精确标度关系。接着通过有效弦张力研究禁闭,发现旋转降低弦禁闭 - 解禁闭转变温度和化学势,相应相边界不再遵循热力学标度关系。还通过势分析方法研究施温格效应,发现旋转降低禁闭和灾难性临界电场,抑制势垒高度和宽度,增强对产生。在解禁闭相,旋转产生世界面视界,限制弦解的径向范围,减小最大夸克 - 反夸克间距和能量有利弦的最深转折点。这些结果表明,旋转在热力学部分通过精确标度律作用平凡,但在弦部分产生全新效应。

英文摘要

We investigate the effect of finite angular velocity on the phase structure and Schwinger pair production in a holographic QCD model based on the Einstein--Maxwell--dilaton framework. Rotation is introduced through a boost construction that generates a stationary rotating geometry from the corresponding static background. We first study the thermodynamic phase diagram using the grand potential together with several response functions and show that all thermodynamic phase boundaries satisfy an exact scaling relation under rotation, implying that the rotating thermodynamic sector is completely determined by the corresponding static solution through a simple boost transformation. We then investigate confinement through the effective string tension and find that, consistent with the thermodynamic observables, rotation decreases the string confinement--deconfinement transition temperature and chemical potential. The corresponding phase boundary, however, no longer obeys the thermodynamic scaling relation. Consequently, the region in the phase diagram that is thermodynamically confined but string deconfined grows with angular velocity. We further study the Schwinger effect using the potential analysis approach. Rotation lowers both the confining and catastrophic critical electric fields and suppresses the height and width of the potential barrier, thereby enhancing pair production in both confined and deconfined phases. In the deconfined phase, rotation also generates a worldsheet horizon that limits the radial extent of connected string solutions and reduces both the maximum quark--antiquark separation and the deepest turning point of the energetically favored string. These results demonstrate that, while rotation acts trivially in the thermodynamic sector through an exact scaling law, it produces genuinely new effects in the string sector.

Comments34 pages, 53 figures

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