2023/11/21 by Robert F. Penna, Penna, Robert F.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2311.12939
openalex publication_date 2023/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The classical scattering of cylindrical gravitational waves is exactly solvable. The motivation for this paper is to understand if the quantum scattering problem is also exactly solvable. The classical dynamics is governed by a two dimensional sigma model. We study this sigma model's S-matrix. We construct a conserved nonlocal charge and derive the associated tree-level S-matrix conservation law. We check our conservation law directly using Feynman diagrams. The existence of this symmetry is a hint that cylindrical gravitational waves might have an exactly solvable S-matrix.