Quantum gravitational corrections from the Wheeler-DeWitt equation for scalar-tensor theories
Abstract
We perform the canonical quantization of a general scalar-tensor theory and derive the first quantum gravitational corrections following from a semi-classical expansion of the Wheeler-DeWitt equation. The non-minimal coupling of the scalar field to gravity induces a derivative coupling between the scalar field and the gravitational degrees of freedom, which prevents a direct application of the expansion scheme. We address this technical difficulty by transforming the theory from the Jordan frame to the Einstein frame. We find that a large non-minimal coupling can have strong effects on the quantum gravitational correction terms. We briefly discuss these effects in the context of the specific model of Higgs inflation.
Keywords
Cite
@article{arxiv.1712.08543,
title = {Quantum gravitational corrections from the Wheeler-DeWitt equation for scalar-tensor theories},
author = {Christian F. Steinwachs and Matthijs L. van der Wild},
journal= {arXiv preprint arXiv:1712.08543},
year = {2018}
}
Comments
33 pages, no figures, typos corrected, comments and references added, published in CQG