d=4 as the critical dimensionality of asymptotically safe interactions
classification
✦ hep-th
gr-qchep-ph
keywords
asymptoticallysafedimensionalitycriticalfourinteractionsuniversedimensional
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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.
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Cited by 1 Pith paper
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Towards theory constraints on ultralight dark matter from quantum gravity
In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.
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