Causality constraints on corrections to Einstein gravity
Autor: | Caron-Huot, Simon, Li, Yue-Zhou, Parra-Martinez, Julio, Simmons-Duffin, David |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/JHEP05(2023)122 |
Popis: | We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables to high-energy data. Using such dispersion relations, we derive two-sided bounds on gravitational Wilson coefficients in terms of the mass $M$ of new higher-spin states. Our bounds imply that gravitational interactions must shut off uniformly in the limit $G \to 0$, and prove the scaling with $M$ expected from dimensional analysis (up to an infrared logarithm). We speculate that causality, together with the non-observation of gravitationally-coupled higher spin states at colliders, severely restricts modifications to Einstein gravity that could be probed by experiments in the near future. Comment: 35 pages + appendices + refs, 14 figures |
Databáze: | arXiv |
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