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Gravitational Positivity Bounds on Scalar Potentials

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arxiv 2105.01436 v2 pith:R7K664PX submitted 2021-05-04 hep-th astro-ph.COgr-qchep-ph

Toshifumi Noumi , Junsei Tokuda This is my paper
classification hep-thastro-ph.COgr-qchep-ph
keywords scalarboundsgravityphysicspositivitypotentialsscalearbitrarily
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive constraints on scalar field theories coupled to gravity by using recently developed positivity bounds in the presence of gravity. It is found that a canonically-normalized real scalar cannot have an arbitrarily flat potential unless some new physics enters well below the Planck scale. An upper bound on the scale of new physics is determined by loop corrections to the self-energy. Our result provides a swampland condition for scalar potentials.

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Cited by 5 Pith papers

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    Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.

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