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Published July 15, 2020 | Published + Submitted
Journal Article Open

Impact of transforming to conformal Fermi coordinates on quasisingle field non-Gaussianity

Abstract

In general relativity predictions for observable quantities can be expressed in a coordinate independent way. Nonetheless it may be inconvenient to do so. Using a particular frame may be the easiest way to connect theoretical predictions to measurable quantities. For the cosmological curvature bispectrum such frame is described by the Conformal Fermi Coordinates. In single field inflation it was shown that going to this frame cancels the squeezed limit of the density perturbation bispectrum calculated in Global Coordinates. We explore this issue in quasi single field inflation when the curvaton mass and the curvaton-inflaton mixing are small. In this case, the contribution to the bispectrum from the coordinate transformation to Conformal Fermi Coordinates is of the same order as that from the inflaton-curvaton interaction term but does not cancel it.

Additional Information

© 2020 American Physical Society. Received 23 May 2020; accepted 6 July 2020; published 22 July 2020. We thank Yi Wang and Zhong-Zhi Xianyu and the anonymous referee for useful comments. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. We are also grateful for the support provided by the Walter Burke Institute for Theoretical Physics.

Attached Files

Published - PhysRevD.102.023533.pdf

Submitted - 2004.06126.pdf

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August 19, 2023
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