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Causality constraints on corrections to Einstein gravity
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Journal Article
Causality constraints on corrections to Einstein gravity
2023
Overview
A
bstract
We study constraints from causality and unitarity on 2 → 2 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
→ 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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,Springer Nature,SpringerOpen
