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arXiv 2609.39288hep-thgr-qc

近地平软定理来自局部Ward恒等式

Near-horizon soft theorems from local Ward identities

Jin-Peng Zhuge, Peng Cheng

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中文总结 AI 辅助

本文提出统一框架,从局部Ward恒等式导出非简并静态球对称视界的领头阶软光子定理,并推广至杨-米尔斯场,揭示不同视界几何的共性。

中文摘要 AI 辅助

我们为非简并静态球对称视界发展了领头阶软光子定理的统一表述。通过从视界辛形式固定光子模式归一化,我们得到了一个共同的角向软因子,其符号由边界方向决定。我们确定了在选定的径向归一化下,局域角向和动量表示中的几何系数。电荷平衡包括视界端点数据和其他边界的贡献。这种表述将黑洞视界和宇宙学视界纳入统一的描述。将相同的构造应用于杨-米尔斯场,得到了相应的树级软胶子定理。这些结果识别了不同视界几何背后的共同软结构。

英文摘要

We develop a unified formulation of leading soft photon theorems for nondegenerate static spherical horizons. By fixing the photon mode normalization from the horizon symplectic form, we obtain a common angular soft factor whose sign follows from the boundary orientation. We determine the geometric coefficients in the local angular and momentum representations for a chosen radial normalization. The charge balance includes horizon endpoint data and contributions from other boundaries. This formulation brings black hole and cosmological horizons into a common description. Applying the same construction to Yang-Mills fields yields the corresponding tree-level soft gluon theorem. These results identify the common soft structure underlying different horizon geometries.

发表机构

  • Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University(天津大学理学院物理系联合量子研究中心)

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