Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 8, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2012/08/012
Keywords
inflation; non-gaussianity; physics of the early universe; cosmological perturbation theory
Funding
- World Class University through the National Research Foundation, Ministry of Education, Science and Technology of Korea [R32-10130]
- JSPS [21244033]
- MEXT
- Grants-in-Aid for Scientific Research [21244033] Funding Source: KAKEN
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We compute analytically the dominant contribution to the tree-level bispectrum in the Starobinsky model of inflation. In this model, the potential is vacuum energy dominated but contains a subdominant linear term which changes the slope abruptly at a point. We show that on largo scales compared with the transition scale k(0) and in the equilateral limit the analogue of the non-linearity parameter scales as (k/k(0))(2), that is its amplitude decays for larger and larger scales until it becomes subdominant with respect to the usual slow-roll suppressed corrections. On small scales we show that the non-linearity parameter oscillates with angular frequency given by 3/k(0) and its amplitude grows linearly towards smaller scales and can be large depending on the model parameters. We also compare our results with previous results in the literature.
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