Ultraviolet fixed point and generalized flow equation of quantum gravity

By O. Lauscher, Martin Reuter. 2001

384 citations recorded by the source corpus.

A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in the transverse-traceless decomposition of the metric. It facilitates both the construction of an appropriate infrared cutoff and the projection of the renormalization group flow onto a large class of truncated parameter spaces. The Einstein-Hilbert truncation is investigated in detail and the fixed point structure of the resulting flow is analyzed. Both a Gaussian and a non-Gaussian fixed point are found. If the non-Gaussian fixed point is present in the exact theory, quantum Einstein gravity is likely to be renormalizable at the nonperturbative level. In order to assess the reliability of the truncation a comprehensive analysis of the scheme dependence of universal quantities is performed. We find strong evidence supporting the hypothesis that 4-dimensional Einstein gravity is asymptotically safe, i.e. nonperturbatively renormalizable. The renormalization group improvement of the graviton propagator suggests a kind of dimensional reduction from 4 to 2 dimensions when spacetime is probed at sub-Planckian length scales.

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

View Paper: https://www.semanticscholar.org/paper/0174b06b4b6987c5dd48ca880ea0429acddef2d3

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In Astronomy and Astrophysics

1. R. Loll
2. J. Jurkiewicz
3. A. Eichhorn
4. Martin Reuter
5. J. Ambjrn
6. U. Harst
7. Steven Carlip
8. G. Mack

In Nuclear and High Energy Physics

1. A. Eichhorn
2. R. Loll
3. J. Jurkiewicz
4. U. Harst
5. Steven Carlip
6. Martin Reuter
7. J. Ambjrn
8. G. Mack

In Statistical and Nonlinear Physics

1. R. Loll
2. A. Eichhorn
3. J. Jurkiewicz
4. Martin Reuter
5. J. Ambjrn
6. U. Harst
7. Steven Carlip
8. G. Mack

Citations in the corpus

• D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes (2009, background): “The possibility of a conformal invariant short distance behaviour is being discussed [37].”