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arXiv · 1211.4217

Frame Transformations of Gravitational Theories

Xavier Calmet·Ting-Cheng Yang
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Abstract

We show how to map gravitational theories formulated in the Jordan frame to the Einstein frame at the quantum field theoretical level considering quantum fields in curved space-time. As an example, we consider gravitational theories in the Jordan frame of the type $F(ϕ,\, R)=f(ϕ)\, R-V(ϕ)$ and perform the map to the Einstein frame. Our results can easily be extended to any gravitational theory. We consider the Higgs inflation model as an application of our results.

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Xavier Calmet, Ting-Cheng Yang. 2013-05-09. Frame Transformations of Gravitational Theories. https://doi.org/10.1142/s0217751x13500425

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