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d=4 as the critical dimensionality of asymptotically safe interactions
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d=4 as the critical dimensionality of asymptotically safe interactions
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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.
Forward citations
Cited by 4 Pith papers
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Why 4D? Spontaneous Dimensional Selection from Gauge Criticality
Gauge criticality of Yang–Mills, via racetrack confinement and 3D dynamical SUSY breaking, can stabilize radii so that a macroscopic 4D spacetime emerges without being put in by hand.
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The fermion sector of the SMEFT from asymptotically safe gravity
In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.
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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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Asymptotically safe quantum gravity and its phenomenology -- a review
Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.
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