Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox

Understand

Over the last years the Asymptotic Safety program has matured into a serious candidate for a quantum theory of gravity compatible with observations.

• The rapid technical progress in computing renormalisation group flows for gravity and gravity-matter systems in the non-perturbative regime has put many interesting physical questions within reach.
• In particular, the construction of the non-perturbative quantum corrections to the propagation of fields on a fluctuating spacetime allows addressing the effective propagation of matter on a quantum spacetime or the possible resolution of spacetime singularities based on first principle computations.
• In this article, we assemble a technical toolbox for carrying out investigations on this promising research frontier.