Sharp boundaries for the swampland
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 cut...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)110 |
| _version_ | 1819086162741952512 |
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| author | Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin |
| author_facet | Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin |
| author_sort | Simon Caron-Huot |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T21:15:52Z |
| format | Article |
| id | doaj.art-5086f989dc9b428ea5cc8bfb92fa8aa1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T21:15:52Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5086f989dc9b428ea5cc8bfb92fa8aa12022-12-21T18:50:01ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021713710.1007/JHEP07(2021)110Sharp boundaries for the swamplandSimon Caron-Huot0Dalimil Mazáč1Leonardo Rastelli2David Simmons-Duffin3Department of Physics, McGill UniversityInstitute for Advanced StudyC. N. Yang Institute for Theoretical Physics, Stony Brook UniversityWalter Burke Institute for Theoretical Physics, CaltechAbstract 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.https://doi.org/10.1007/JHEP07(2021)110Effective Field TheoriesScattering AmplitudesClassical Theories of Gravity |
| spellingShingle | Simon Caron-Huot Dalimil Mazáč Leonardo Rastelli David Simmons-Duffin Sharp boundaries for the swampland Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Classical Theories of Gravity |
| title | Sharp boundaries for the swampland |
| title_full | Sharp boundaries for the swampland |
| title_fullStr | Sharp boundaries for the swampland |
| title_full_unstemmed | Sharp boundaries for the swampland |
| title_short | Sharp boundaries for the swampland |
| title_sort | sharp boundaries for the swampland |
| topic | Effective Field Theories Scattering Amplitudes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP07(2021)110 |
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