Efficient resummation of high post-Newtonian contributions to the binding energy
Abstract A factorisation property of Feynman diagrams in the context the Effective Field Theory approach to the compact binary problem has been recently employed to efficiently determine the static sector of the potential at fifth post-Newtonian (5PN) order. We extend this procedure to the case of n...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)165 |
| _version_ | 1818329374253907968 |
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| author | Stefano Foffa Riccardo Sturani William J. Torres Bobadilla |
| author_facet | Stefano Foffa Riccardo Sturani William J. Torres Bobadilla |
| author_sort | Stefano Foffa |
| collection | DOAJ |
| description | Abstract A factorisation property of Feynman diagrams in the context the Effective Field Theory approach to the compact binary problem has been recently employed to efficiently determine the static sector of the potential at fifth post-Newtonian (5PN) order. We extend this procedure to the case of non-static diagrams and we use it to fix, by means of elementary algebraic manipulations, the value of more than one thousand diagrams at 5PN order, that is a substantial fraction of the diagrams needed to fully determine the dynamics at 5PN. This procedure addresses the redundancy problem that plagues the computation of the binding energy with respect to more “efficient” observables like the scattering angle, thus making the EFT approach in harmonic gauge at least as scalable as the others methods. |
| first_indexed | 2024-12-13T12:47:02Z |
| format | Article |
| id | doaj.art-5e1f8bb4b7b94045bfd07b4c8acad84f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T12:47:02Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5e1f8bb4b7b94045bfd07b4c8acad84f2022-12-21T23:45:27ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021211810.1007/JHEP02(2021)165Efficient resummation of high post-Newtonian contributions to the binding energyStefano Foffa0Riccardo Sturani1William J. Torres Bobadilla2Département de Physique Théorique and Centre for Astroparticle Physics, Université de GenèveInternational Institute of Physics, Universidade Federal do Rio Grande do NorteInstituto de Física Corpuscular, Universitat de València, Consejo Superior de Investigaciones CientíficasAbstract A factorisation property of Feynman diagrams in the context the Effective Field Theory approach to the compact binary problem has been recently employed to efficiently determine the static sector of the potential at fifth post-Newtonian (5PN) order. We extend this procedure to the case of non-static diagrams and we use it to fix, by means of elementary algebraic manipulations, the value of more than one thousand diagrams at 5PN order, that is a substantial fraction of the diagrams needed to fully determine the dynamics at 5PN. This procedure addresses the redundancy problem that plagues the computation of the binding energy with respect to more “efficient” observables like the scattering angle, thus making the EFT approach in harmonic gauge at least as scalable as the others methods.https://doi.org/10.1007/JHEP02(2021)165Classical Theories of GravityBlack HolesEffective Field Theories |
| spellingShingle | Stefano Foffa Riccardo Sturani William J. Torres Bobadilla Efficient resummation of high post-Newtonian contributions to the binding energy Journal of High Energy Physics Classical Theories of Gravity Black Holes Effective Field Theories |
| title | Efficient resummation of high post-Newtonian contributions to the binding energy |
| title_full | Efficient resummation of high post-Newtonian contributions to the binding energy |
| title_fullStr | Efficient resummation of high post-Newtonian contributions to the binding energy |
| title_full_unstemmed | Efficient resummation of high post-Newtonian contributions to the binding energy |
| title_short | Efficient resummation of high post-Newtonian contributions to the binding energy |
| title_sort | efficient resummation of high post newtonian contributions to the binding energy |
| topic | Classical Theories of Gravity Black Holes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP02(2021)165 |
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