Near-horizon soft theorems from local Ward identities
Abstract
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.
Related
- Universal Lichnerowicz Lifting of Near-Horizon Soft Modes
- Running soft theorems in effective field theory
- All-Orders Classical Soft Graviton Theorems in the Newtonian Limit and Beyond
- Logarithmic corrections to massive particle trajectories for the classical soft log theorems at leading order in G
- On-shell recursion and soft theorems for worldline quantum field theory
BibTeX
@misc{zhuge2026nearhorizon,
title = {{Near-horizon soft theorems from local Ward identities}},
author = {Jin-Peng Zhuge and Peng Cheng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39288},
eprint = {2609.39288},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39288},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Near-horizon soft theorems from local Ward identities
AU - Jin-Peng Zhuge
AU - Peng Cheng
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39288
UR - https://arxiv.org/abs/2609.39288
AB - 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.
ER -