Speaker
Description
Asymptotically safe quantum gravity might provide a UV complete description of nature, governed by scale-invariance realized at an interacting RG fixed point. In this talk, I will introduce Dynamical Triangulations as a tool complementary to functional methods, to explore this scenario. I will give an overview on the status of asymptotic safety from lattice studies, and focus on recent studies of matter correlators on these fluctuating lattices. On the one hand, these correlators serve as a probe of the underlying geometry and provide crucial insights into the quantum nature of geometry. On the other hand, they also allow to extract physical information, e.g., the mass anomalous dimension, and hence serve as an important bridge to functional studies. There, such critical exponents have been recently studied to high precision by resumming higher-order operators. Hence, recent progress in the study of matter correlators with functional and lattice methods pave the way towards quantitative comparison of both methods, and hence to robust, method independent insights into the quantum nature of spacetime.