The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling

Details The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling

2011-12-22

arxiv.org/abs/1112.5233v3

JCAP02(2012)034

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figure, references added

Scientific paper

10.1088/1475-7516/2012/02/034

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.

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