Soft Photon Hair on Schwarzschild Horizon from a Wilson Line Perspective

Understand

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.