Sharp boundaries for the swampland

• Main Authors: Simon Caron-Huot, Dalimil Mazáč, Leonardo Rastelli, David Simmons-Duffin
• Format: Article
• Language: English
• Published: SpringerOpen 2021-07-01
• Series: Journal of High Energy Physics
• Subjects: Effective Field Theories; Scattering Amplitudes; Classical Theories of Gravity
• Online Access: https://doi.org/10.1007/JHEP07(2021)110

Abstract We reconsider the problem of bounding higher derivative couplings in consistent weakly coupled gravitational theories, starting from general assumptions about analyticity and Regge growth of the S-matrix. Higher derivative couplings are expected to be of order one in the units of the UV cutoff. Our approach justifies this expectation and allows to prove precise bounds on the order one coefficients. Our main tool are dispersive sum rules for the S-matrix. We overcome the difficulties presented by the graviton pole by measuring couplings at small impact parameter, rather than in the forward limit. We illustrate the method in theories containing a massless scalar coupled to gravity, and in theories with maximal supersymmetry.