自旋流体动力学吸引子的射影起源及其复兴排斥子
Projective Origin of the Spin Hydrodynamic Attractor and Its Resurgent Repellor
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中文总结 AI 辅助
本文在Bjorken膨胀中揭示自旋流体动力学吸引子的射影起源，证明吸引子与排斥子对应线性解空间的不同射影方向，并解析实现其Borel-Stokes复兴联系。
中文摘要 AI 辅助
我们研究了Bjorken膨胀中自旋流体动力学吸引子的射影与复兴结构。我们证明，非线性自旋吸引子族由二维线性解空间的射影类决定，其中吸引子和排斥子对应于两个不同的射影方向，而线性模式之比生成完整的一参数跨级数塔。我们将吸引子和排斥子识别为与底层线性解空间的两个不同射影方向相关联的完整全局解分支。利用射影跨级数结构，我们解析地证明了排斥子的数据编码在吸引子展开的Borel-Stokes结构中。这些结果为通常通过高阶展开和数值Borel分析提取的复兴关系提供了明确的解析实现，并在最小因果自旋流体动力学中给出了吸引子、排斥子及其Borel-Stokes联系的统一描述。
英文摘要
We investigate the projective and resurgent structure of a spin hydrodynamic attractor in Bjorken expansion. We show that the nonlinear spin solution family is determined by the projective classes of the two dimensional linear solution space, with the attractor and repellor corresponding to two distinguished projective directions and the linear modes ratio generating the full one-parameter transseries tower. Using the projective transseries structure, we show analytically that the data of repellor are encoded in the Borel-Stokes structure of the attractor expansion. These results provide an explicit analytic realization of resurgence relations that are often extracted through high order expansions and numerical Borel analysis, and yield a unified description of the attractor, the repellor, and their Borel-Stokes connection in minimal causal spin hydrodynamics.
发表机构
- South China Normal University（华南师范大学）
- State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University（华南师范大学量子物质研究院核物理与技术国家重点实验室）
- Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science（广东省物质结构与基本相互作用卓越研究中心、广东省核科学重点实验室）
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