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dc.contributor.authorHillman, A
dc.contributor.authorPajer, E
dc.date.accessioned2022-04-05T16:00:24Z
dc.date.available2022-04-05T16:00:24Z
dc.date.issued2022
dc.date.submitted2022-01-14
dc.identifier.issn1029-8479
dc.identifier.otherjhep04(2022)012
dc.identifier.other18119
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/335782
dc.description.abstractOur understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological spacetimes. While scattering amplitudes in flat space at tree level are obtained from simple algebraic operations, things are harder for cosmological observables. Indeed, computing cosmological correlation functions or the associated wavefunction coefficients requires evaluating a growing number of nested time integrals already at tree level, which is computationally challenging. Here, we present a new "differential" representation of the cosmological wavefunction in de Sitter spacetime that obviates this problem for a large class of phenomenologically relevant theories. Given any tree-level Feynman-Witten diagram, we give simple algebraic rules to write down a seed function and a differential operator that transforms it into the desired wavefunction coefficient for any scale-invariant, parity-invariant theory of massless scalars and gravitons with general boost-breaking interactions. In particular, this applies to large classes of phenomenologically relevant theories such as those described by the effective field theory of inflation or solid inflation. Trading nested bulk time integrals for derivatives on boundary kinematical data provides a great computational advantage, especially for processes involving many vertices.
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectRegular Article - Theoretical Physics
dc.subjectEarly Universe Particle Physics
dc.subjectEffective Field Theories
dc.subjectSpace-Time Symmetries
dc.subjectModels of Quantum Gravity
dc.titleA differential representation of cosmological wavefunctions
dc.typeArticle
dc.date.updated2022-04-05T16:00:23Z
prism.issueIdentifier4
prism.publicationNameJournal of High Energy Physics
prism.volume2022
dc.identifier.doi10.17863/CAM.83218
dcterms.dateAccepted2022-03-09
rioxxterms.versionofrecord10.1007/JHEP04(2022)012
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidHillman, A [0000-0002-8856-3208]
dc.contributor.orcidPajer, E [0000-0002-7921-4479]
dc.identifier.eissn1029-8479
cam.issuedOnline2022-04-04
dc.identifier.arxiv2112.01619


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