Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 1, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2016/01/022
Keywords
cosmological perturbation theory; inflation; initial conditions and eternal universe
Funding
- NSF [PHY-1417421]
- CRF Grants of the Government of the Hong Kong SAR [HUKST4/CRF/13G]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1417421] Funding Source: National Science Foundation
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In this paper, we study several issues in the linear equation-of-motion (EoM) and in-in approaches of computing the two-point correlation functions in multi-field inflation. We prove the equivalence between this EoM approach and the first-principle in-in formalism. We check this equivalence using several explicit examples, including cases with scale-invariant corrections and scale-dependent features. Motivated by the explicit proof, we show that the usual procedures in these approaches can be extended and applied to some interesting model categories beyond what has been studied in the literature so far. These include the density perturbations with strong couplings and correlated multi-field initial states.
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