$d=4$ as the critical dimensionality of asymptotically safe interactions
POSTER
Abstract
We explore the question why our universe is four dimensional from an asymptotically safe vantage point. We find hints that asymptotically safe quantum fluctuations of gravity can only solve the $U(1)$ Landau-pole problem in the Standard Model in four dimensions. This could single out the observed dimensionality of the universe as the critical dimensionality of asymptotically safe interactions.
*This work is supported by the DFG under grant no.~Ei-1037/1, and A.~E.~is also partially supported by a visiting fellowship at the Perimeter Institute for Theoretical Physics. This research is also supported by the Danish National Research Foundation under grant DNRF:90. M.~S.~is supported by a scholarship of the German Academic Scholarship Foundation.