Ghost anomalous dimension in asymptotically safe quantum gravity
Abstract
We compute the ghost anomalous dimension within the asymptotic-safety scenario for quantum gravity. For a class of covariant gauge fixings and using a functional RG scheme, the anomalous dimension is negative, implying an improved UV behavior of ghost fluctuations. At the non-Gaussian UV fixed point, we observe a maximum value of for the Landau-deWitt gauge within the given scheme and truncation. Most importantly, the backreaction of the ghost flow onto the Einstein-Hilbert sector preserves the non-Gaussian fixed point with only mild modifications of the fixed-point values for the gravitational coupling and cosmological constant and the associated critical exponents; also their gauge dependence is slightly reduced. Our results provide further evidence for the asymptotic-safety scenario of quantum gravity.
Cite
@article{arxiv.1001.5033,
title = {Ghost anomalous dimension in asymptotically safe quantum gravity},
author = {Astrid Eichhorn and Holger Gies},
journal= {arXiv preprint arXiv:1001.5033},
year = {2010}
}
Comments
12 pages