Analytical evaluation of cosmological correlation functions
Abstract Using the Schwinger-Keldysh-formalism, reformulated in [1] as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in de Sitter. Recasting the Witten cosmological correlator as flat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)139 |
| _version_ | 1798038824751726592 |
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| author | Till Heckelbacher Ivo Sachs Evgeny Skvortsov Pierre Vanhove |
| author_facet | Till Heckelbacher Ivo Sachs Evgeny Skvortsov Pierre Vanhove |
| author_sort | Till Heckelbacher |
| collection | DOAJ |
| description | Abstract Using the Schwinger-Keldysh-formalism, reformulated in [1] as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in de Sitter. Recasting the Witten cosmological correlator as flat space Feynman integrals, we evaluate the one-loop cosmological four-point functions in de Sitter space in terms of single-valued multiple polylogarithms. From it we derive anomalous dimensions and OPE coefficients of the dual conformal field theory at space-like, future infinity. In particular, we find an interesting degeneracy in the anomalous dimensions relating operators of neighboring spins. |
| first_indexed | 2024-04-11T21:45:38Z |
| format | Article |
| id | doaj.art-196301baa60f4c188b3652a35c3a0aa0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T21:45:38Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-196301baa60f4c188b3652a35c3a0aa02022-12-22T04:01:25ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022814610.1007/JHEP08(2022)139Analytical evaluation of cosmological correlation functionsTill Heckelbacher0Ivo Sachs1Evgeny Skvortsov2Pierre Vanhove3Arnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenArnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universität MünchenService de Physique de l’Univers, Champs et Gravitation, Université de MonsInstitut de Physique Theorique, Université Paris-Saclay, CEA, CNRSAbstract Using the Schwinger-Keldysh-formalism, reformulated in [1] as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in de Sitter. Recasting the Witten cosmological correlator as flat space Feynman integrals, we evaluate the one-loop cosmological four-point functions in de Sitter space in terms of single-valued multiple polylogarithms. From it we derive anomalous dimensions and OPE coefficients of the dual conformal field theory at space-like, future infinity. In particular, we find an interesting degeneracy in the anomalous dimensions relating operators of neighboring spins.https://doi.org/10.1007/JHEP08(2022)139AdS-CFT CorrespondenceScattering AmplitudesEffective Field Theories |
| spellingShingle | Till Heckelbacher Ivo Sachs Evgeny Skvortsov Pierre Vanhove Analytical evaluation of cosmological correlation functions Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes Effective Field Theories |
| title | Analytical evaluation of cosmological correlation functions |
| title_full | Analytical evaluation of cosmological correlation functions |
| title_fullStr | Analytical evaluation of cosmological correlation functions |
| title_full_unstemmed | Analytical evaluation of cosmological correlation functions |
| title_short | Analytical evaluation of cosmological correlation functions |
| title_sort | analytical evaluation of cosmological correlation functions |
| topic | AdS-CFT Correspondence Scattering Amplitudes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP08(2022)139 |
| work_keys_str_mv | AT tillheckelbacher analyticalevaluationofcosmologicalcorrelationfunctions AT ivosachs analyticalevaluationofcosmologicalcorrelationfunctions AT evgenyskvortsov analyticalevaluationofcosmologicalcorrelationfunctions AT pierrevanhove analyticalevaluationofcosmologicalcorrelationfunctions |