2020/07/08 by Tom Draper, Benjamin Knorr, Chris Ripken +1 · 1 citation
Physics and Astronomy · #Asymptotic safety in quantum gravity #Black Holes and Theoretical Physics #Curvature #Effective action #Minkowski space #Noncommutative and Quantum Gravity Theories #Propagator #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum gravity #Scalar (mathematics) #Scattering amplitude #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep11(2020)136
arxiv created 2020/07/08 · openalex created_date 2020/07/16 · openalex publication_date 2020/11/01 · arxiv updated 2020/12/30 · openalex updated_date 2026/08/05
A bstract We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism parameterises all quantum corrections to these processes and is manifestly gauge-invariant. The conditions resulting from UV-finiteness, unitarity, and causality are analysed in detail and it is shown by explicit construction that the quantum effective action provides sufficient room to meet these structural requirements without introducing non-localities or higher-spin degrees of freedom. Our framework provides a bottom-up approach to all quantum gravity programs seeking for the quantisation of gravity within the framework of quantum field theory. Its scope is illustrated by specific examples, including effective field theory, Stelle gravity, infinite derivative gravity, and Asymptotic Safety.