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Causality constraints on corrections to Einstein gravity
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DOI：10.1007/JHEP05(2023)122.png)
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Abstract
En 中文
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.
Keywords:
Classical Theories of Gravity
Effective Field Theories
Models of Quantum Gravity
Scattering Amplitudes
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W