# Fixed points of quantum gravity in higher dimensions

@inproceedings{Fischer2006FixedPO, title={Fixed points of quantum gravity in higher dimensions}, author={Peter Fischer and Daniel F. Litim}, year={2006} }

We study quantum gravity in more than four dimensions by means of an exact functional flow. A non‐trivial ultraviolet fixed point is found in the Einstein‐Hilbert theory. It is shown that our results for the fixed point and universal scaling exponents are stable. If the fixed point persists in extended truncations, quantum gravity in the metric field is asymptotically safe. We indicate physical consequences of this scenario in phenomenological models with low‐scale quantum gravity and large…

## 40 Citations

### Fixed points of quantum gravity and the renormalisation group

- Physics
- 2008

We review the asymptotic safety scenario for quantum gravity and the role and implications of an underlying ultraviolet fixed point. We discuss renormalisation group techniques employed in the fixed…

### Running gauge coupling in asymptotically safe quantum gravity

- Physics
- 2009

We investigate the non-perturbative renormalization group behavior of the gauge coupling constant using a truncated form of the functional flow equation for the effective average action of the…

### Aspects of quantum gravity and matter

- Physics
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A quantum theory of gravity remains one of the greatest challenges of contemporary physics. It is well established that a perturbative treatment of gravity as a quantum field theory leads to a…

### The role of background independence for asymptotic safety in Quantum Einstein Gravity

- Physics
- 2009

We discuss various basic conceptual issues related to coarse graining flows in quantum gravity. In particular, the requirement of background independence is shown to lead to renormalization group…

### Asymptotic safety guaranteed

- Physics
- 2014

We study the ultraviolet behaviour of four-dimensional quantum ﬁeld theories involving non-abelian gauge ﬁelds, fermions and scalars in the Veneziano limit. In a regime where asymptotic freedom is…

### On de Sitter solutions in asymptotically safe f(R) theories

- PhysicsClassical and Quantum Gravity
- 2018

The availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt -type models of quantum gravity which display an…

### Black holes and asymptotically safe gravity

- Physics
- 2012

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for…

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