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Bimetric truncations for quantum Einstein gravity and asymptotic safety

Journal Article · · Annals of Physics (New York)
 [1];  [1]
  1. Institute of Physics, University of Mainz, Staudingerweg 7, D-55099 Mainz (Germany)

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.

OSTI ID:
21336116
Journal Information:
Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 4 Vol. 325; ISSN 0003-4916; ISSN APNYA6
Country of Publication:
United States
Language:
English

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