Speaker
Description
Scale-invariant extensions of gravity, particularly quadratic gravity, offer a compelling setting due to their perturbative renormalizability and potential asymptotic freedom. Formulated in Weyl geometry, these models naturally allow physical energy scales, such as the Planck mass, to emerge dynamically through a spontaneous symmetry‑breaking mechanism, which in turn enables the recovery of an Einstein–Hilbert action in the infrared and provides a natural framework to accommodate the Standard Model.
We study the renormalization group flow of quadratic gravity in Weyl geometry using the background field formalism. We compute the one‑loop effective action and derive the beta functions for the independent quadratic couplings, analyzing how the Weyl connection modifies propagators and interaction vertices. This allows us to explore the theory's ultraviolet behavior and assess the prospects for a UV‑complete extension of Einstein gravity.
| Affiliation | University of Pisa, INFN |
|---|---|
| Career status | PhD student |