Graviton partial waves and causality in higher dimensions
High Energy Physics - Theory
2023-07-26 v1 General Relativity and Quantum Cosmology
Abstract
Do gravitational interactions respect the basic principles of relativity and quantum mechanics? We show that any graviton S-matrix that satisfies these assumptions cannot significantly differ from General Relativity at low energies. We provide sharp bounds on the size of potential corrections in terms of the mass M of new higher-spin states, in spacetime dimensions D>=5 where the S-matrix does not suffer from infrared ambiguities. The key novel ingredient is the full set of SO(D-1) partial waves for this process, which we show how to efficiently compute with Young tableau manipulations. We record new bounds on the central charges of holographic conformal theories.
Cite
@article{arxiv.2205.01495,
title = {Graviton partial waves and causality in higher dimensions},
author = {Simon Caron-Huot and Yue-Zhou Li and Julio Parra-Martinez and David Simmons-Duffin},
journal= {arXiv preprint arXiv:2205.01495},
year = {2023}
}
Comments
6 pages + 6 appendices, ancillary files for partial wave data