$α$-vacuum and inflationary bispectrum

Details $α$-vacuum and inflationary bispectrum $α$-vacuum and inflationary bispectrum

2008-06-25

arxiv.org/abs/0806.4109v4

Phys.Rev.D79:043518,2009

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 8 figures, references added, minor changes, accepted by Phys.Rev.D

Scientific paper

10.1103/PhysRevD.79.043518

In this paper, we discuss the non-Guassianity originated from the $\alpha$-vacuum on the CMB anisotropy. For $\alpha$-vacuum, there exist correlation between points in the acausal two patches of de Sitter spactime. Such kind of correlation can lead to large local form non-Guassianity in $\alpha$-vacuum. For the single field slow-roll inflationary scenario, the spacetime is in a quasi-de Sitter phase during the inflation. We will show that the $\alpha$-vacuum in this case will lead to non-Gaussianity with distinguished feature, of a large local form and a very different shape.

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