2017/12/31 by Christian F. Steinwachs, Christian F Steinwachs, Matthijs L. van der Wild +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Cosmology and Gravitation Theories #Gravitation #Gravitational field #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum #Quantum gravity #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #gr-qc #hep-th
paper · pdf · doi:10.1088/1361-6382/aac587
33 pages, no figures, typos corrected, comments and references added, published in CQG
openalex created_date 2018/01/05 · openalex publication_date 2018/05/17 · arxiv created 2018/07/11 · arxiv updated 2018/07/12 · openalex updated_date 2026/08/05
Abstract We perform the canonical quantization of a general scalar–tensor theory and derive the first quantum gravitational corrections following from a semiclassical 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.