一般维度静态球对称视界附近的软光子定理
Soft-photon theorem near static spherical horizons in generic dimensions
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中文总结 AI 辅助
本文在一般维度静态球对称时空中研究非极值视界附近的Maxwell理论，通过近视界边界条件构造相空间和大U(1)电荷，从Ward恒等式导出软光子定理，并与平直空间结果比较，揭示维度依赖的差异。
中文摘要 AI 辅助
我们在维度 $D>3$ 的一般静态、球对称时空中，研究了非极值分叉 Killing 视界附近的 Maxwell 理论。我们在规则的 Eddington--Finkelstein 坐标中施加近视界边界条件，该条件同时保留辐射和库仑数据，并构造了相应的视界相空间和大 $U(1)$ 电荷。在零无穷远处，辐射衰减依赖于时空维度，并在奇数 $D$ 时涉及半整数幂，而有限半径的非极值视界则支持具有普通整数幂展开的辐射数据。通过将视界场按 Killing 频率和球谐函数展开，我们从大 $U(1)$ Ward 恒等式导出了相应的软光子关系。为了比较，我们使用与视界模式相同的球谐函数和交换子归一化来表达平直空间中的领头软光子定理。在 $D=4$ 时，这两个关系具有相同的软频率依赖性和硬电荷项的相同角依赖性，而对于 $D>4$，平直空间关系包含额外的依赖于维度的频率和角度因子。
英文摘要
We study Maxwell theory near a nonextremal bifurcate Killing horizon in a general static, spherically symmetric spacetime of dimension $D>3$. We impose near-horizon boundary conditions in a regular Eddington--Finkelstein chart that retain both radiative and Coulombic data, and construct the associated horizon phase space and large-$U(1)$ charge. At null infinity, the radiative falloff depends on the spacetime dimension and involves half-integer powers in odd $D$, whereas a nonextremal horizon at finite radius supports radiative data with an ordinary integer-power expansion. Expanding the horizon fields in Killing frequency and spherical harmonics, we derive the associated soft-photon relation from the large-$U(1)$ Ward identity. For comparison, we express the flat-space leading soft-photon theorem using the same spherical harmonics and commutator normalization as the horizon modes. In $D=4$, the two relations have the same soft-frequency dependence and the same angular dependence of the hard-charge terms, whereas for $D>4$ the flat-space relation contains additional dimension-dependent frequency and angular factors.
发表机构
- Institute for Theoretical Physics, TU Wien（维也纳工业大学理论物理研究所）
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