Soft theorems in curved spacetime

Abstract

In this paper, we derive a soft photon theorem in the near horizon region of the Schwarzschild black hole from the Ward identity of the near horizon large gauge transformation. The flat spacetime soft photon theorem can be recovered as a limiting case of the curved spacetime. The soft photons on the horizon are indeed soft electric hairs. This accomplishes the triangle equivalence on the black hole horizon.

v3: commutation relation corrected, soft factor corrected, main results unchanged

References in corpus (6)

• Low's Subleading Soft Theorem as a Symmetry of QED
• Null boundary phase space: slicings, news and memory
• T-Witts from the horizon
• HPS meets AMPS: How Soft Hair Dissolves the Firewall
• Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole
• Near horizon gravitational charges

Cited by in corpus (8)

• Soft gluon theorems in curved spacetime
• Replica wormhole as a vacuum-to-vacuum transition
• Soft theorems in de Sitter spacetime
• A black hole toy model with non-local and boundary modes from non-trivial boundary conditions
• Gauge theories with non-trivial boundary conditions: Black holes
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Near horizon linearized gravity and soft theorem
• Anomaly Equation of the Large U(1) Chiral Symmetry