Bimetric renormalization group flows in quantum Einstein gravity

By E. Manrique, Martin Reuter, Frank Saueressig. 2010

162 citations recorded by the source corpus.

Abstract The formulation of an exact functional renormalization group equation for quantum Einstein gravity necessitates that the underlying effective average action depends on two metrics, a dynamical metric giving the vacuum expectation value of the quantum field, and a background metric supplying the coarse graining scale. The central requirement of “background independence” is met by leaving the background metric completely arbitrary. This bimetric structure entails that the effective average action may contain three classes of interactions: those built from the dynamical metric only, terms which are purely background, and those involving a mixture of both metrics. This work initiates the first study of the full-fledged gravitational RG flow, which explicitly accounts for this bimetric structure, by considering an ansatz for the effective average action which includes all three classes of interactions. It is shown that the non-trivial gravitational RG fixed point central to the asymptotic safety program persists upon disentangling the dynamical and background terms. Moreover, upon including the mixed terms, a second non-trivial fixed point emerges, which may control the theory’s IR behavior.

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

View Paper: https://www.semanticscholar.org/paper/0f5f674ccb49323079f5d75d4c7c54d0fa78e2da

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. B. Famaey
2. S. McGaugh
3. A. Eichhorn
4. L. Canet
5. W. Metzner
6. N. Dupuis
7. Jan M. Pawlowski
8. M. Tissier

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. B. Famaey
8. Jan M. Pawlowski

In Statistical and Nonlinear Physics

1. B. Famaey
2. L. Canet
3. A. Eichhorn
4. W. Metzner
5. S. McGaugh
6. N. Dupuis
7. Jan M. Pawlowski
8. M. Tissier

Citations in the corpus

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions (2011, background): “Interestingly, bimetric theories have also been advocated [256] to be a useful ingredient for the renormalizability of quantum gravity (although they currently considered theories with only metric interactions, not derivatives like in BIMOND).”
• 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”