Lecture notes: Functional renormalisation group and asymptotically safe quantum gravity

Manuel Reichert*

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Abstrakt

These lecture notes give an introduction to the functional renormalisation group and asymptotically safe quantum gravity. We cover the basics of generating functionals in quantum field theories and derive the Wetterich equation. The anharmonic oscillator is presented as a simple example and compared to perturbation theory with resummation methods. A special focus is set on the implementation of symmetries in the functional renormalisation group. The second half of these notes is dedicated to quantum gravity, explaining the failure of perturbative gravity and how these issues are addressed in the non-perturbative approach. After detailing the implementation of the diffeomorphism symmetry, we present a simple computation in the Einstein-Hilbert truncation and give a short outlook on the state-of-the-art in the field. These notes are based on lectures given at the XV Modave Summer School in Mathematical Physics.

OriginalsprogEngelsk
Artikelnummer005
TidsskriftProceedings of Science
Vol/bind384
Antal sider63
ISSN1824-8039
DOI
StatusUdgivet - 2020
Begivenhed15th Modave Summer School in Mathematical Physics, Modave 2019 - Modave, Belgien
Varighed: 8. sep. 201914. sep. 2019

Konference

Konference15th Modave Summer School in Mathematical Physics, Modave 2019
LandBelgien
ByModave
Periode08/09/201914/09/2019

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