تقرير
The Geometry of Cosmological Correlators
| العنوان: | The Geometry of Cosmological Correlators |
|---|---|
| المؤلفون: | Benincasa, Paolo, Dian, Gabriele |
| المصدر: | doi:10.3204/PUBDB-2024-00063 |
| سنة النشر: | 2024 |
| المجموعة: | DESY Publication Database (PUBDB) |
| مصطلحات موضوعية: | correlation function, geometry, wave function, buildings, Robertson-Walker, factorization, triangulation, surface, toy model, Feynman graph, structure, cosmological model |
| جغرافية الموضوع: | DE |
| الوصف: | We provide a first principle definition of cosmological correlation functions for a large class of scalar toy models in arbitrary FRW cosmologies, in terms of novel geometries we name {\it weighted cosmological polytopes}. Each of these geometries encodes a universal rational integrand associated to a given Feynman graph. In this picture, all the possible ways of organising, and computing, cosmological correlators correspond to triangulations and subdivisions of the geometry, containing the in-in representation, the one in terms of wavefunction coefficients and many others. We also provide two novel contour integral representations, one connecting higher and lower loop correlators and the other one expressing any of them in terms of a building block. We study the boundary structure of these geometries allowing us to prove factorisation properties and Steinmann-like relations when single and sequential discontinuities are approached. We also show that correlators must satisfy novel vanishing conditions. As the weighted cosmological polytopes can be obtained as an orientation-changing operation onto a certain subdivision of the cosmological polytopes encoding the wavefunction of the universe, this picture allows us to sharpen how the properties of cosmological correlators are inherited from the ones of the wavefunction. From a mathematical perspective, we also provide an in-depth characterisation of their adjoint surface. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/arxiv/arXiv:2401.05207; https://bib-pubdb1.desy.de/record/601026Test; https://bib-pubdb1.desy.de/search?p=id:%22PUBDB-2024-00063%22Test |
| الإتاحة: | https://doi.org/10.3204/PUBDB-2024-00063Test https://bib-pubdb1.desy.de/record/601026Test https://bib-pubdb1.desy.de/search?p=id:%22PUBDB-2024-00063%22Test |
| حقوق: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.84487030 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |