Borel resummation of secular divergences in stochastic inflation
Abstract We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation. Correlation functions of self-interacting scalar fields in de Sitter spacetime are known to develop secular IR divergences via loops, and the first t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)060 |
| _version_ | 1797647376856383488 |
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| author | Masazumi Honda Ryusuke Jinno Lucas Pinol Koki Tokeshi |
| author_facet | Masazumi Honda Ryusuke Jinno Lucas Pinol Koki Tokeshi |
| author_sort | Masazumi Honda |
| collection | DOAJ |
| description | Abstract We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation. Correlation functions of self-interacting scalar fields in de Sitter spacetime are known to develop secular IR divergences via loops, and the first terms of the divergent series have been consistently computed both with standard techniques for curved spacetime quantum field theory and within the framework of stochastic inflation. We show that Borel resummation can be used to interpret the divergent series and to correctly infer the time evolution of the correlation functions. In practice, we adopt a method called Borel-Padé resummation where we approximate the Borel transformation by a Padé approximant. We also discuss the singularity structures of Borel transformations and mention possible applications to cosmology. |
| first_indexed | 2024-03-11T15:16:24Z |
| format | Article |
| id | doaj.art-037680547ce24f44a4a50a32281feac3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:24Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-037680547ce24f44a4a50a32281feac32023-10-29T12:12:26ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023814110.1007/JHEP08(2023)060Borel resummation of secular divergences in stochastic inflationMasazumi Honda0Ryusuke Jinno1Lucas Pinol2Koki Tokeshi3Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics (YITP), Kyoto UniversityResearch Center for the Early Universe (RESCEU), Graduate School of Science, The University of TokyoInstituto de Física Téorica UAM-CSICResearch Center for the Early Universe (RESCEU), Graduate School of Science, The University of TokyoAbstract We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation. Correlation functions of self-interacting scalar fields in de Sitter spacetime are known to develop secular IR divergences via loops, and the first terms of the divergent series have been consistently computed both with standard techniques for curved spacetime quantum field theory and within the framework of stochastic inflation. We show that Borel resummation can be used to interpret the divergent series and to correctly infer the time evolution of the correlation functions. In practice, we adopt a method called Borel-Padé resummation where we approximate the Borel transformation by a Padé approximant. We also discuss the singularity structures of Borel transformations and mention possible applications to cosmology.https://doi.org/10.1007/JHEP08(2023)060Nonperturbative Effectsde Sitter spaceStochastic ProcessesNon-Equilibrium Field Theory |
| spellingShingle | Masazumi Honda Ryusuke Jinno Lucas Pinol Koki Tokeshi Borel resummation of secular divergences in stochastic inflation Journal of High Energy Physics Nonperturbative Effects de Sitter space Stochastic Processes Non-Equilibrium Field Theory |
| title | Borel resummation of secular divergences in stochastic inflation |
| title_full | Borel resummation of secular divergences in stochastic inflation |
| title_fullStr | Borel resummation of secular divergences in stochastic inflation |
| title_full_unstemmed | Borel resummation of secular divergences in stochastic inflation |
| title_short | Borel resummation of secular divergences in stochastic inflation |
| title_sort | borel resummation of secular divergences in stochastic inflation |
| topic | Nonperturbative Effects de Sitter space Stochastic Processes Non-Equilibrium Field Theory |
| url | https://doi.org/10.1007/JHEP08(2023)060 |
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