2012
DOI: 10.1088/1475-7516/2012/09/010
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Inflationary perturbation theory is geometrical optics in phase space

Abstract: A pressing problem in comparing inflationary models with observation is the accurate calculation of correlation functions. One approach is to evolve them using ordinary differential equations ("transport equations"), analogous to the Schwinger-Dyson hierarchy of in-out quantum field theory. We extend this approach to the complete set of momentum space correlation functions. A formal solution can be obtained using raytracing techniques adapted from geometrical optics. We reformulate inflationary perturbation th… Show more

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Cited by 62 publications
(162 citation statements)
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“…The main feature of the multifield models which leads to nonstandard primordial spectrum is the ability of trajectories of slow-roll fields to rotate in the field space, that occurs due to the presence of bumps and ridges in the effective multifield potential. When the slow-roll field trajectories turn in the field space, nonstandard contributions to primordial spectra can be amplified enough to be detectable in the microwave background [52][53][54].…”
Section: Jhep12(2017)036mentioning
confidence: 99%
“…The main feature of the multifield models which leads to nonstandard primordial spectrum is the ability of trajectories of slow-roll fields to rotate in the field space, that occurs due to the presence of bumps and ridges in the effective multifield potential. When the slow-roll field trajectories turn in the field space, nonstandard contributions to primordial spectra can be amplified enough to be detectable in the microwave background [52][53][54].…”
Section: Jhep12(2017)036mentioning
confidence: 99%
“…[62], where ζ is evaluated by evolving the field correlation functions from horizon-crossing to the time of interest, then gauge-transforming to ζ on uniform energy hypersurface. For model examples, see [59,72]. In particular, one can see that the second terms in the moment transport expressions Eqs.…”
Section: B Relation Between τNl and Gnlmentioning
confidence: 99%
“…The ensemble of separate universes can then be intuitively described as a 'bundle' in phase space (for a more detailed description see for example Refs. [57,58] and references therein), and the evolution of this bundle encodes all the information we require about the perturbed Universe.…”
Section: Background Theorymentioning
confidence: 99%