Celestial amplitude for 2d theory
Abstract We explore celestial amplitude corresponding to 2d bulk S $$ \mathcal{S} $$ -matrix. We consider scalar particles with identical mass and show that the celestial amplitude becomes the fourier transform of the 2d S $$ \mathcal{S} $$ -matrix written in the rapidity variable. We translate the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2022)060 |
| _version_ | 1827979557575065600 |
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| author | Sarthak Duary |
| author_facet | Sarthak Duary |
| author_sort | Sarthak Duary |
| collection | DOAJ |
| description | Abstract We explore celestial amplitude corresponding to 2d bulk S $$ \mathcal{S} $$ -matrix. We consider scalar particles with identical mass and show that the celestial amplitude becomes the fourier transform of the 2d S $$ \mathcal{S} $$ -matrix written in the rapidity variable. We translate the crossing and unitarity conditions into the conditions on the celestial amplitude. For the 2d Sinh-Gordon model, we calculate the celestial amplitude perturbatively in coupling constant and check that the crossing and unitarity conditions are satisfied for the celestial amplitude. Imposing the crossing and unitarity conditions to the celestial amplitude, we want to find amplitudes to the higher order in perturbation theory from the lower order i.e., to provide a “proof of principle” to show we can apply the bootstrap idea to the celestial amplitude. We find that imposing the crossing and unitarity conditions is not enough for bootstrapping celestial amplitude, there is an extra term which can’t be fixed by the crossing and unitarity conditions. We also study the gravitational dressing condition in 2d QFT for massless particles in celestial space and see that for the gravitationally dressed celestial amplitude, the poles on the right half-plane get erased for several ansatzes. |
| first_indexed | 2024-04-09T21:39:42Z |
| format | Article |
| id | doaj.art-0c3eee1466c0439590963205c564ec9e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:39:42Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0c3eee1466c0439590963205c564ec9e2023-03-26T11:03:55ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221212210.1007/JHEP12(2022)060Celestial amplitude for 2d theorySarthak Duary0International Centre for Theoretical Sciences-TIFRAbstract We explore celestial amplitude corresponding to 2d bulk S $$ \mathcal{S} $$ -matrix. We consider scalar particles with identical mass and show that the celestial amplitude becomes the fourier transform of the 2d S $$ \mathcal{S} $$ -matrix written in the rapidity variable. We translate the crossing and unitarity conditions into the conditions on the celestial amplitude. For the 2d Sinh-Gordon model, we calculate the celestial amplitude perturbatively in coupling constant and check that the crossing and unitarity conditions are satisfied for the celestial amplitude. Imposing the crossing and unitarity conditions to the celestial amplitude, we want to find amplitudes to the higher order in perturbation theory from the lower order i.e., to provide a “proof of principle” to show we can apply the bootstrap idea to the celestial amplitude. We find that imposing the crossing and unitarity conditions is not enough for bootstrapping celestial amplitude, there is an extra term which can’t be fixed by the crossing and unitarity conditions. We also study the gravitational dressing condition in 2d QFT for massless particles in celestial space and see that for the gravitationally dressed celestial amplitude, the poles on the right half-plane get erased for several ansatzes.https://doi.org/10.1007/JHEP12(2022)060Field Theories in Lower DimensionsScattering Amplitudes |
| spellingShingle | Sarthak Duary Celestial amplitude for 2d theory Journal of High Energy Physics Field Theories in Lower Dimensions Scattering Amplitudes |
| title | Celestial amplitude for 2d theory |
| title_full | Celestial amplitude for 2d theory |
| title_fullStr | Celestial amplitude for 2d theory |
| title_full_unstemmed | Celestial amplitude for 2d theory |
| title_short | Celestial amplitude for 2d theory |
| title_sort | celestial amplitude for 2d theory |
| topic | Field Theories in Lower Dimensions Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP12(2022)060 |
| work_keys_str_mv | AT sarthakduary celestialamplitudefor2dtheory |