Fixed Functionals in Asymptotically Safe Gravity
High Energy Physics - Theory
2013-02-07 v1 General Relativity and Quantum Cosmology
Abstract
We summarize the status of constructing fixed functionals within the f(R)-truncation of Quantum Einstein Gravity in three spacetime dimensions. Focusing on curvatures much larger than the IR-cutoff scale, it is shown that the fixed point equation admits three different scaling regimes: for classical and quantum dominance the equation becomes linear and has power-law solutions, while the balanced case gives rise to a generalized homogeneous equation whose order is reduced by one and whose solutions are non-analytical.
Cite
@article{arxiv.1302.1312,
title = {Fixed Functionals in Asymptotically Safe Gravity},
author = {Maximilian Demmel and Frank Saueressig and Omar Zanusso},
journal= {arXiv preprint arXiv:1302.1312},
year = {2013}
}
Comments
4 pages, to appear in Proceedings of the Thirteenth Marcel Grossman Meeting on General Relativity