Local quantum gravity
Abstract
We investigate the ultraviolet behavior of quantum gravity within a functional renormalization group approach. The present setup includes the full ghost and graviton propagators and, for the first time, the dynamical graviton threepoint function. The latter gives access to the coupling of dynamical gravitons and makes the system minimally selfconsistent. The resulting phase diagram confirms the asymptotic safety scenario in quantum gravity with a nontrivial UV fixed point. A welldefined Wilsonian block spinning requires locality of the flow in momentum space. This property is discussed in the context of functional renormalization group flows. We show that momentum locality of graviton correlation functions is nontrivially linked to diffeomorphism invariance, and is realized in the present setup.
 Publication:

Physical Review D
 Pub Date:
 December 2015
 DOI:
 10.1103/PhysRevD.92.121501
 arXiv:
 arXiv:1506.07016
 Bibcode:
 2015PhRvD..92l1501C
 Keywords:

 04.60.m;
 03.70.+k;
 Quantum gravity;
 Theory of quantized fields;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, 3 figures