Consistency Relation for multifield inflation scenario with all loop contributions

Details Consistency Relation for multifield inflation scenario with all loop contributions Consistency Relation for multifield inflation scenario with all loop contributions

2012-01-19

arxiv.org/abs/1201.4048v5

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 6 figures

Scientific paper

The consistency relation between non-linear parameters $f_{NL}$ and $\tau_{NL}$ characterizing Non-Gaussianity generated during the inflationary period have been emerged as a useful tool which have a possibility to rule out a large class of inflationary models all at once. In our previous work, we extended the Suyama-Yamaguchi inequality up to 1-loop corrections. In this paper, we derive an inequality extended up to {\it all} loop corrections which has the same expression with the original Suyama-Yamaguchi inequality, $\tau_{NL} \geq (6/5f_{NL})^2$, where the equality is not satisfied in the case of single field models any more.

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