https://scholars.lib.ntu.edu.tw/handle/123456789/639446
標題: | Linking the Singularities of Cosmological Correlators | 作者: | Daniel Baumann Wei-Ming Chen Carlos Duaso Pueyo Austin Joyce Hayden Lee Guilherme L. Pimentel |
關鍵字: | Cosmology of Theories BSM | Scale and Conformal Symmetries | Scattering Amplitudes; High Energy Physics - Theory; High Energy Physics - Theory; astro-ph.CO; General Relativity and Quantum Cosmology; High Energy Physics - Phenomenology | 公開日期: | 10-六月-2021 | 卷: | 2022 | 期: | 9 | 來源出版物: | Journal of High Energy Physics | 摘要: | Much of the structure of cosmological correlators is controlled by their singularities, which in turn are fixed in terms of flat-space scattering amplitudes. An important challenge is to interpolate between the singular limits to determine the full correlators at arbitrary kinematics. This is particularly relevant because the singularities of correlators are not directly observable, but can only be accessed by analytic continuation. In this paper, we study rational correlators, including those of gauge fields, gravitons, and the inflaton, whose only singularities at tree level are poles and whose behavior away from these poles is strongly constrained by unitarity and locality. We describe how unitarity translates into a set of cutting rules that consistent correlators must satisfy, and explain how this can be used to bootstrap correlators given information about their singularities. We also derive recursion relations that allow the iterative construction of more complicated correlators from simpler building blocks. In flat space, all energy singularities are simple poles, so that the combination of unitarity constraints and recursion relations provides an efficient way to bootstrap the full correlators. In many cases, these flat-space correlators can then be transformed into their more complex de Sitter counterparts. As an example of this procedure, we derive the correlator associated to graviton Compton scattering in de Sitter space, though the methods are much more widely applicable. |
描述: | 69+29 pages, 6 figures; v2: final version for submission, graviton Compton correlator is now fully derived |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/639446 | ISSN: | 1029-8479 | DOI: | 10.1007/JHEP09(2022)010 |
顯示於: | 物理學系 |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。