Exploring Asymptotically Safe Quantum Gravity on the Lattice

Explore asymptotically safe quantum gravity through lattice methods in this comprehensive conference talk delivered by Marc Schiffer from Radboud University. Discover how asymptotic safety might provide a unified description of fundamental quantum gravity and matter dynamics, where scale symmetry at high energies constrains possible interactions and system dynamics. Learn about both functional and lattice methods as independent tools for investigating asymptotic safety, with particular focus on Euclidean dynamical triangulations as a lattice approach. Examine how non-dynamical scalar fields serve as probes for lattice geometries and understand the evidence suggesting that lattice spacing can be reduced to the Planck scale, potentially enabling a continuum limit. Investigate indications of a scale-dependent cosmological constant that could function as a dynamical dark-energy component in our universe, providing insights into fundamental physics at the intersection of quantum gravity and cosmology.