Speaker
Description
One candidate for a quantum theory of gravity is the Asymptotic Safety conjecture, which postulates the existence of a non-trivial fixed point for the gravitational couplings. We investigate the search for such a fixed point within the framework of perturbation theory.
For this, we employ the Ricci flow as the central tool, pursuing a perturbative scheme analogous to the gradient flow formalism in QCD. In QCD, the gradient flow was introduced to bridge the gap between lattice simulations and perturbative calculations, allowing for a definition of a renormalisation scheme that is accessible in both settings. Applied to gravity the gradient flow is known as Ricci flow. The core idea is to utilize this framework to compute the beta function of the gravitational coupling by explicitly defining it within the Ricci flow scheme.
In this talk, I will present the first steps towards constructing a perturbative implementation of the Ricci flow and the definition of Newton's coupling in this scheme.