Abstract
We develop a unified framework for the construction of soft dressings at boundaries of spacetime, such as the null infinity of Minkowski spacetime and the horizon of a Schwarzschild black hole. The construction is based on an old proposal of Mandelstam for quantizing QED and considers matter fields dressed by Wilson lines. Along time-like paths, the Wilson lines puncturing the boundary are the analogs of flat space Faddeev-Kulish dressings. We focus on the Schwarzschild black hole where our framework provides a quantum-field-theoretical perspective of the Hawking-Perry-Strominger viewpoint that black holes carry soft hair, through a study of the Wilson line dressings, localized on the horizon.
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Choi, S., Akhoury, R. Soft photon hair on Schwarzschild horizon from a Wilson line perspective. J. High Energ. Phys. 2018, 74 (2018). https://doi.org/10.1007/JHEP12(2018)074
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DOI: https://doi.org/10.1007/JHEP12(2018)074