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流体动力学的粒子-涡旋对偶性

Particle-Vortex Duality of Hydrodynamics

Cenke Xu, Matthew P. A. Fisher

arXiv 2608.02732首次发表:更新:

发表机构

University of California, Santa Barbara(加州大学圣塔芭芭拉分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究人员依托强弱自发对称破缺等结构,构建二维玻色子/转子系统流体动力学的量子粒子-涡旋对偶性,建立物质流体动力学与磁流体动力学的关联。

AI 中文摘要

依托新近被认知的混合物质态的对称结构以及“强弱自发对称破缺”(SW-SSB),我们针对二维玻色子/转子系统的涌现模型F与模型A流体动力学,构建了量子粒子-涡旋对偶性。该对偶关系表明,二维玻色子的经典流体动力学既可以用U(1)_c电荷对称性描述,也能等效地用对偶的(涌现)1-形式对称性U(1)^{(1)}_e以及与涡旋守恒相关的U(1)_v描述。此对偶性为物质流体动力学与磁流体动力学搭建了桥梁。

英文摘要

Equipped with the recently recognized symmetry structure of mixed states of matter and "strong-weak spontaneous symmetry breaking" (SW-SSB), we develop a quantum particle-vortex duality of emergent model-F and model-A hydrodynamics of 2d boson/rotor systems. This duality relation demonstrates that classical hydrodynamics of 2d bosons can be described in terms of the charge symmetry $U(1)_c$, but also equivalently in terms of the dual (emergent) 1-form symmetry $U(1)^{(1)}_e$, as well as $U(1)_v$ associated with the conservation of vortices. This duality provides a bridge between the hydrodynamics of matter and magnetohydrodynamics.

Comments17 pages 1 figure

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