d = 4 as the critical dimensionality of asymptotically safe interactions
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) Landaupole 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.
 Publication:

Physics Letters B
 Pub Date:
 June 2019
 DOI:
 10.1016/j.physletb.2019.05.005
 arXiv:
 arXiv:1902.06479
 Bibcode:
 2019PhLB..793..383E
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 6 pages plus references, 6 figures