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The conformal transformation in general single field inflation with non-minimal coupling
Kubota, Takahiro Misumi, Nobuhiko Naylor, Wade Okuda, Naoya
Kubota, Takahiro
Misumi, Nobuhiko
Naylor, Wade
Okuda, Naoya
Abstract
The method of a conformal transformation is applied to a general class of single field inflation models with non-minimal coupling to gravity and non-standard kinetic terms, in order to reduce the cosmological perturbative calculation to the conventional minimal coupling case to all orders in perturbation theory. Our analysis is made simple by the fact that all perturbation variables in the comoving gauge are conformally invariant to
all orders. The structure of the vacuum, on which cosmological correlation functions are evaluated, is also discussed. We show how quantization in the Jordan frame for non-minimally coupled inflation models can be equivalently implemented in the Einstein frame. It is thereafter argued that the general N -point cosmological correlation functions (of the curvature perturbation) are independent of the conformal frame.
Keywords
inflation, cosmological, perturbation theory, non-gaussianity, CMBR theory
Date
2012
Type
Journal article
Journal
Book
Volume
2
Issue
Page Range
1-16
Article Number
ACU Department
School of Education
Faculty of Education and Arts
Faculty of Education and Arts
Collections
Relation URI
Event URL
Open Access Status
License
File Access
Controlled
Open
Open
Notes
© 2012 IOP Publishing Ltd and SISSA
Preprint version: https://arxiv.org/abs/1112.5233
The URI http://arxiv.org/licenses/nonexclusive-distrib/1.0/ is used to record the fact that the submitter granted the following license to arXiv.org on submission of an article: I grant arXiv.org a perpetual, non-exclusive license to distribute this article. I certify that I have the right to grant this license. I understand that submissions cannot be completely removed once accepted. I understand that arXiv.org reserves the right to reclassify or reject any submission.
Preprint version: https://arxiv.org/abs/1112.5233
The URI http://arxiv.org/licenses/nonexclusive-distrib/1.0/ is used to record the fact that the submitter granted the following license to arXiv.org on submission of an article: I grant arXiv.org a perpetual, non-exclusive license to distribute this article. I certify that I have the right to grant this license. I understand that submissions cannot be completely removed once accepted. I understand that arXiv.org reserves the right to reclassify or reject any submission.