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加速胶动力学中的重整化Polyakov回路

Renormalized Polyakov loop in accelerated gluodynamics

Victor V. Braguta, Vladimir A. Goy, Jayanta Dey, Artem A. Roenko

arXiv 2609.15699首次发表:更新:

发表机构

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Pacific Quantum Center, Far Eastern Federal University; Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Science; Dubna State University(鲍里索夫理论物理实验室,联合核研究所; 太平洋量子中心,远东联邦大学; 自动化与控制过程研究所,俄罗斯科学院远东分院; 杜布纳国立大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过格点模拟研究Rindler时空中加速胶动力学,提出重整化方案计算Polyakov回路,并发现与Tolman-Ehrenfest近似在高温下存在分歧。

AI 中文摘要

本文研究了在宽温度与加速度区间内的加速胶动力学。我们的研究是在由Rindler坐标参数化的共动参考系中通过格点模拟进行的。我们发展了重整化方案,使得我们能够计算Rindler时空中的重整化Polyakov回路作为坐标的函数。利用重整化局域Polyakov回路的数据,我们计算了静态夸克自由能和静态夸克有效质量的空间依赖性。除了Rindler坐标方法外,人们认为加速胶动力学可以通过适当调整温度梯度(依据Tolman-Ehrenfest定律)的非加速胶动力学来近似。我们比较了这两种方法在所研究观测量上的结果。发现它们在接近临界温度时吻合得相当好,而在更高温度下表现出分歧。我们认为这种分歧可能归因于Rindler胶动力学中出现的Tolman-Ehrenfest定律修正。

英文摘要

In this paper we investigate accelerated gluodynamics for a broad intervals of temperature and acceleration. Our study is carried out within lattice simulation in the co-moving reference frame parameterized by the Rindler coordinates. We developed the renormalization prescription that allowed us to calculate renormalized Polyakov loop as a function of coordinate in the Rindler spacetime. Using the data for the renormalized local Polyakov loop, we calculated spatial dependence of the static quark free energy and effective mass of static quark. Besides the Rindler coordinates, it is believed that accelerated gluodynamics can be approximated utilizing non-accelerated gluodynamics with a properly adjusted temperature gradient in accordance with the Tolman-Ehrenfest law. We compared these approaches for the observables under study. It was found that they agree quite well close to the critical temperature and demonstrate disagreement at higher temperatures. We believe that this disagreement might be attributed to the Tolman-Ehrenfest law corrections which appear in the Rindler gluodynamics.

Comments13 pages, 7 figures, 2 tables

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