Estimating global charge violating amplitudes from wormholes

Abstract

We consider the scattering of high energy and ultra relativistic spherically symmetric shells in asymptotically AdS${}_D$ spacetimes. We analyze an exclusive amplitude where a single spherically symmetric shell goes in and a single one comes out, such that the two have different global symmetry charges of the effective gravity theory. We study a simple wormhole configuration that computes the square of the amplitude and analyze its properties.

arXiv comment15 pages + appendices, additional citations in v2

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• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Black hole wavefunctions and microcanonical states
• Ringdown in the SYK model
• Negative R$\acute{\text{e}}$nyi entropy and Brane intersection
• QNM orthogonality relations for AdS black holes
• Global symmetry violation from non-isometric codes
• Center Symmetry Breaking in Calabi--Yau Compactifications