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$d=4$ as the critical dimensionality of asymptotically safe interactions

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arxiv 1902.06479 v1 pith:5C4MRMC6 submitted 2019-02-18 hep-th gr-qchep-ph

Astrid Eichhorn , Marc Schiffer This is my paper
classification hep-thgr-qchep-ph
keywords asymptoticallysafedimensionalitycriticalfourinteractionsuniversedimensional
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Why 4D? Spontaneous Dimensional Selection from Gauge Criticality

    hep-ph 2026-07 conditional novelty 7.0 of 10

    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.

  2. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  3. Towards theory constraints on ultralight dark matter from quantum gravity

    hep-ph 2025-10 unverdicted novelty 6.0 of 10

    In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.

  4. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  5. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

  6. Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory

    hep-th 2026-01 conditional novelty 5.0 of 10

    Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.

  7. Asymptotically safe quantum gravity and its phenomenology -- a review

    hep-th 2026-06 unverdicted novelty 1.0 of 10

    Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.

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