Local Quantum Gravity
Abstract
We investigate the ultraviolet behaviour of quantum gravity within a functional renormalisation group approach. The present setup includes the full ghost and graviton propagators and, for the first time, the dynamical graviton three-point function. The latter gives access to the coupling of dynamical gravitons and makes the system minimally self-consistent. The resulting phase diagram confirms the asymptotic safety scenario in quantum gravity with a non-trivial UV fixed point. A well-defined Wilsonian block spinning requires locality of the flow in momentum space. This property is discussed in the context of functional renormalisation group flows. We show that momentum locality of graviton correlation functions is non-trivially linked to diffeomorphism invariance, and is realised in the present setup.
Cite
@article{arxiv.1506.07016,
title = {Local Quantum Gravity},
author = {Nicolai Christiansen and Benjamin Knorr and Jan Meibohm and Jan M. Pawlowski and Manuel Reichert},
journal= {arXiv preprint arXiv:1506.07016},
year = {2016}
}
Comments
4 pages, 3 figures