Further evidence for asymptotic safety of quantum gravity

By K. Falls, D. Litim, K. Nikolakopoulos, Christoph Rahmede. 2014

202 citations recorded by the source corpus.

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the self-consistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.

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

View Paper: https://www.semanticscholar.org/paper/1cce453c236e06e8c9867450988eca4a49e41cf1

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): “Extensions to higher orders in Rn can be found in [1082, 1094, 1098, 1103–1106, 1162–1167], and inclusions of Ricci tensor invariants and Riemann tensor invariants in [1107, 1111, 1112, 1168].”