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The curvature perturbation at second order

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journal contribution
posted on 2023-06-08, 22:37 authored by Mafalda Dias, Joseph Elliston, Jonathan Frazer, David Mulryne, David SeeryDavid Seery
We give an explicit relation, up to second-order terms, between scalar-field fluctuations defined on spatially-flat slices and the curvature perturbation on uniform-density slices. This expression is a necessary ingredient for calculating observable quantities at second-order and beyond in multiple-field inflation. We show that traditional cosmological perturbation theory and the `separate universe' approach yield equivalent expressions for superhorizon wavenumbers, and in particular that all nonlocal terms can be eliminated from the perturbation-theory expressions.

Funding

Precisions tests of the inflationary scenario; G0918; EUROPEAN UNION; 308082

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of Cosmology and Astroparticle Physics

ISSN

1475-7516

Publisher

Institute of Physics

Volume

2015

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-09-29

First Open Access (FOA) Date

2016-03-01

First Compliant Deposit (FCD) Date

2015-09-29

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