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- Title
Linking the singularities of cosmological correlators.
- Authors
Baumann, Daniel; Chen, Wei-Ming; Duaso Pueyo, Carlos; Joyce, Austin; Lee, Hayden; Pimentel, Guilherme L.
- Abstract
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.
- Subjects
CORRELATORS; COMPTON scattering; SCATTERING amplitude (Physics); GRAVITONS
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 9, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP09(2022)010