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Transport equations for the inflationary trispectrum
journal contribution
posted on 2023-06-08, 13:39 authored by Gemma Jayne Anderson, David J. Mulryne, David SeeryDavid SeeryWe use transport techniques to calculate the trispectrum produced in multiple-field inflationary models with canonical kinetic terms. Our method allows the time evolution of the local trispectrum parameters, tauNL and gNL, to be tracked throughout the inflationary phase. We illustrate our approach using examples. We give a simplified method to calculate the superhorizon part of the relation between field fluctuations on spatially flat hypersurfaces and the curvature perturbation on uniform density slices, and obtain its third-order part for the first time. We clarify how the 'backwards' formalism of Yokoyama et al. relates to our analysis and other recent work. We supply explicit formulae which enable each inflationary observable to be computed in any canonical model of interest, using a suitable first-order ODE solver.
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Publication status
- Published
File Version
- Published version
Journal
Journal of Cosmology and Astroparticle PhysicsISSN
1475-7516Publisher
Institute of PhysicsExternal DOI
Issue
10Volume
2012Page range
019Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2013-05-14First Open Access (FOA) Date
2013-05-14First Compliant Deposit (FCD) Date
2012-11-13Usage metrics
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