22–27 Sept 2024
Maison des Congrès
Europe/Zurich timezone

Analytic solutions for scaling dimensions of highly irrelevant operators in LPA and f(R) approximations

26 Sept 2024, 14:30
20m
Maison des Congrès

Maison des Congrès

Chem. des Grandes Isles 7, 1865 Ormont-Dessus Les Diablerets Switzerland

Speaker

Tim Morris (Southampton University)

Description

We show that in the local potential approximation of the functional renormalization group, and in the f(R) approximation to asymptotically safe gravity, a combination of Sturm-Liouville and WKB methods allows for an exact analytical solution for scaling dimensions of highly irrelevant operators. The results shed light on properties of these approximations and in particular on recent numerical evidence of almost Gaussian scaling in the f(R) approximation and the extent to which these results are (non)universal.

Presentation materials