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虚转动下的强相互作用费米子

Strongly interacting fermions under imaginary rotation

Tudor Pătuleanu, Victor E. Ambrus

arXiv 2609.34858首次发表:更新:

发表机构

Université de Tours, Université d’Orléans(图尔大学、奥尔良大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究利用线性σ模型和平均场近似,研究虚转动下强相互作用费米子的相图,发现远场极限下热力学分形化影响及临界虚角速度以上转动轴手征对称性恢复的完全抑制,并展示了过渡线的插值行为。

AI 中文摘要

在本研究中,我们研究了虚转动下强相互作用费米子的相图。我们采用平均场近似下与夸克耦合的线性σ模型。费米子期望值在局域密度近似(LDA)下计算,使用在有限温度$T$和化学势$\mu$下刚性转动状态中,基于圆柱模式推导的众所周知表达式。我们研究了热力学分形化对远场极限(远离转动轴)中相图的影响。我们还揭示了非平凡特征,例如在临界虚角速度以上,转动轴上手征对称性恢复被完全抑制。通过研究转动轴有限距离处的手征相变,我们明确展示了过渡线如何在转动轴上及其远场极限形状之间插值。我们还讨论了系统的转动惯量,并探讨了与虚转动下QCD物质格点研究的异同。

英文摘要

In the present study, we investigate the phase diagram of strongly-interacting fermions under imaginary rotation. We employ the linear sigma model coupled to quarks in the mean field approximation. The fermion expectation values are computed in the local density approximation (LDA), using the well-known expressions derived using cylindrical modes for states under rigid rotation, at finite temperature $T$ and chemical potential $μ$. We study the impact of the fractalization of thermodynamics on the phase diagram in the far-field limit (far from the rotation axis). We also reveal non-trivial features such as a complete inhibition of the chiral symmetry restoration on the rotation axis above a critical imaginary angular velocity. We demonstrate explicitly how the transition line interpolates between its shape on the rotation axis and in the far-field limit by studying the chiral phase transition at finite distances from the rotation axis. We also address the moment of inertia of the system and discuss differences and similarities to lattice studies of QCD matter under imaginary rotation.

Comments18 pages, 9 figures

论文原文

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