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dc.contributor.authorJazayeri, Sadra
dc.contributor.authorPajer, Enrico
dc.contributor.authorStefanyszyn, David
dc.date.accessioned2022-01-28T16:45:43Z
dc.date.available2022-01-28T16:45:43Z
dc.date.issued2021-10-07
dc.date.submitted2021-07-12
dc.identifier.otherjhep10(2021)065
dc.identifier.other16859
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/333301
dc.description.abstractAbstract: In the standard approach to deriving inflationary predictions, we evolve a vacuum state in time according to the rules of a given model. Since the only observables are the future values of correlators and not their time evolution, this brings about a large degeneracy: a vast number of different models are mapped to the same minute number of observables. Furthermore, due to the lack of time-translation invariance, even tree-level calculations require an increasing number of nested integrals that quickly become intractable. Here we ask how much of the final observables can be “bootstrapped” directly from locality, unitarity and symmetries. To this end, we introduce two new “boostless” bootstrap tools to efficiently compute tree-level cosmological correlators/wavefunctions without any assumption about de Sitter boosts. The first is a Manifestly Local Test (MLT) that any n-point (wave)function of massless scalars or gravitons must satisfy if it is to arise from a manifestly local theory. When combined with a sub-set of the recently proposed Bootstrap Rules, this allows us to compute explicitly all bispectra to all orders in derivatives for a single scalar. Since we don’t invoke soft theorems, this can also be extended to multi-field inflation. The second is a partial energy recursion relation that allows us to compute exchange correlators. Combining a bespoke complex shift of the partial energies with Cauchy’s integral theorem and the Cosmological Optical Theorem, we fix exchange correlators up to a boundary term. The latter can be determined up to contact interactions using unitarity and manifest locality. As an illustration, we use these tools to bootstrap scalar inflationary trispectra due to graviton exchange and inflaton self-interactions.
dc.languageen
dc.publisherSpringer Berlin Heidelberg
dc.subjectRegular Article - Theoretical Physics
dc.subjectCosmology of Theories beyond the SM
dc.subjectEffective Field Theories
dc.subjectScattering Amplitudes
dc.subjectSpace-Time Symmetries
dc.titleFrom locality and unitarity to cosmological correlators
dc.typeArticle
dc.date.updated2022-01-28T16:45:43Z
prism.issueIdentifier10
prism.publicationNameJournal of High Energy Physics
prism.volume2021
dc.identifier.doi10.17863/CAM.80724
dcterms.dateAccepted2021-09-13
rioxxterms.versionofrecord10.1007/jhep10(2021)065
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.identifier.eissn1029-8479
dc.identifier.arxiv2103.08649


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