English

Ghost anomalous dimension in asymptotically safe quantum gravity

High Energy Physics - Theory 2010-05-19 v1 General Relativity and Quantum Cosmology

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 ηc\eta_c is negative, implying an improved UV behavior of ghost fluctuations. At the non-Gaussian UV fixed point, we observe a maximum value of ηc0.78\eta_c\simeq -0.78 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.

Keywords

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

R2 v1 2026-06-21T14:40:23.056Z