Taming perturbative divergences in asymptotically safe gravity

By D. Benedetti, P. F. Machado, Frank Saueressig. 2009

169 citations recorded by the source corpus.

Abstract We use functional renormalization group methods to study gravity minimally coupled to a free scalar field. This setup provides the prototype of a gravitational theory which is perturbatively non-renormalizable at one-loop level, but may possess a non-trivial renormalization group fixed point controlling its UV behavior. We show that such a fixed point indeed exists within the truncations considered, lending strong support to the conjectured asymptotic safety of the theory. In particular, we demonstrate that the counterterms responsible for its perturbative non-renormalizability have no qualitative effect on this feature.

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

View Paper: https://www.semanticscholar.org/paper/41ff8e2956b7ca9adfd1058b2e6fef07f4cd6d60

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. Gianluca Calcagni
6. Jan M. Pawlowski
7. M. Tissier
8. 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. Gianluca Calcagni

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Cosmology of the Lifshitz universe (2009, background): “tum gravity [3, 4, 5] and spin-foams [6] are among the most popular candidates for a theory of quantum gravity. Other independent approaches are asymptotically safe Quantum Einstein Gravity (QEG) [7]–[29] (reviewed in [28, 30, 31]) and Causal Dynamical Triangulations (CDT), a Lorentzian path-integra”
• The nonperturbative functional renormalization group and its applications (2020, background): “Extensions to higher orders in Rn can be found in [1056, 1068, 1072, 1077–1080, 1136–1141], and inclusions of Ricci tensor invariants and Riemann tensor invariants in [1081, 1085, 1086, 1142].”