d = 4 as the critical dimensionality of asymptotically safe interactions

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 dime...

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Bibliographic Details
Main Authors: Astrid Eichhorn, Marc Schiffer
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319303144
Description
Summary: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.
ISSN:0370-2693