Cutting rule for in-in correlators and cosmological collider
Abstract We derive a cutting rule for equal-time in-in correlators including cosmological correlators based on Keldysh r/a basis, which decomposes diagrams into fully retarded functions and cut-propagators consisting of Wightman functions. Our derivation relies only on basic assumptions such as unit...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)194 |
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| author | Yohei Ema Kyohei Mukaida |
| author_facet | Yohei Ema Kyohei Mukaida |
| author_sort | Yohei Ema |
| collection | DOAJ |
| description | Abstract We derive a cutting rule for equal-time in-in correlators including cosmological correlators based on Keldysh r/a basis, which decomposes diagrams into fully retarded functions and cut-propagators consisting of Wightman functions. Our derivation relies only on basic assumptions such as unitarity, locality, and the causal structure of the in-in formalism, and therefore holds for theories with arbitrary particle contents and local interactions at any loop order. As an application, we show that non-local cosmological collider signals arise solely from cut-propagators under the assumption of microcausality. Since the cut-propagators do not contain (anti-)time-ordering theta functions, the conformal time integrals are factorized, simplifying practical calculations. |
| format | Article |
| id | doaj-art-5ad61af11c7041508691bd4e95d265c7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-5ad61af11c7041508691bd4e95d265c72025-01-12T12:05:56ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214110.1007/JHEP12(2024)194Cutting rule for in-in correlators and cosmological colliderYohei Ema0Kyohei Mukaida1School of Physics and Astronomy, University of MinnesotaTheory Center, IPNS, KEKAbstract We derive a cutting rule for equal-time in-in correlators including cosmological correlators based on Keldysh r/a basis, which decomposes diagrams into fully retarded functions and cut-propagators consisting of Wightman functions. Our derivation relies only on basic assumptions such as unitarity, locality, and the causal structure of the in-in formalism, and therefore holds for theories with arbitrary particle contents and local interactions at any loop order. As an application, we show that non-local cosmological collider signals arise solely from cut-propagators under the assumption of microcausality. Since the cut-propagators do not contain (anti-)time-ordering theta functions, the conformal time integrals are factorized, simplifying practical calculations.https://doi.org/10.1007/JHEP12(2024)194de Sitter spaceEarly Universe Particle PhysicsNonperturbative Effects |
| spellingShingle | Yohei Ema Kyohei Mukaida Cutting rule for in-in correlators and cosmological collider Journal of High Energy Physics de Sitter space Early Universe Particle Physics Nonperturbative Effects |
| title | Cutting rule for in-in correlators and cosmological collider |
| title_full | Cutting rule for in-in correlators and cosmological collider |
| title_fullStr | Cutting rule for in-in correlators and cosmological collider |
| title_full_unstemmed | Cutting rule for in-in correlators and cosmological collider |
| title_short | Cutting rule for in-in correlators and cosmological collider |
| title_sort | cutting rule for in in correlators and cosmological collider |
| topic | de Sitter space Early Universe Particle Physics Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP12(2024)194 |
| work_keys_str_mv | AT yoheiema cuttingruleforinincorrelatorsandcosmologicalcollider AT kyoheimukaida cuttingruleforinincorrelatorsandcosmologicalcollider |