Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety

By E. Manrique, Martin Reuter. 2009

137 citations recorded by the source corpus.

In the average action approach to the quantization of gravity the fundamental requirement of "background independence" is met by actually introducing a background metric but leaving it completely arbitrary. The associated Wilsonian renormalization group defines a coarse graining flow on a theory space of functionals which, besides the dynamical metric, depend explicitly on the background metric. All solutions to the truncated flow equations known to date have a trivial background field dependence only, namely via the classical gauge fixing term. In this paper we analyze a number of conceptual issues related to the bimetric character of the gravitational average action and explore a first nontrivial bimetric truncation in the simplified setting of conformally reduced gravity. Possible implications for the Asymptotic Safety program and the cosmological constant problem are discussed in detail.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/861e98d0e22b561081f50894d925b3306e4b42c4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Eichhorn
2. L. Canet
3. W. Metzner
4. N. Dupuis
5. Jan M. Pawlowski
6. M. Tissier
7. N. Wschebor

In Nuclear and High Energy Physics

1. A. Eichhorn
2. W. Metzner
3. M. Tissier
4. N. Dupuis
5. N. Wschebor
6. L. Canet
7. Jan M. Pawlowski
8. Markus Q. Huber

In Statistical and Nonlinear Physics

1. L. Canet
2. A. Eichhorn
3. W. Metzner
4. N. Dupuis
5. Jan M. Pawlowski
6. M. Tissier
7. N. Wschebor

Citations in the corpus

• The nonperturbative functional renormalization group and its applications (2020, background): “Studies in these various setups hint at the qualitative reliability of the single-metric approximation in pure gravity [756, 757, 1143, 1179–1181, 1188–1192], although the background cosmological constant appears to deviate significantly from its fluctuation counterpart under the impact of quantum f”