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On unimodular quantum gravity

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arxiv 1301.0879 v2 pith:F2O5BZVG submitted 2013-01-05 gr-qc hep-th

classification gr-qchep-th
keywords gravityquantumunimodularstandardeinsteinscenariotheoryasymptotic-safety
verification ladder T0 review T1 audit T2 compute T3 formal
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Unimodular gravity is classically equivalent to standard Einstein gravity, but differs when it comes to the quantum theory: The conformal factor is non-dynamical, and the gauge symmetry consists of transverse diffeomorphisms only. Furthermore, the cosmological constant is not renormalized. Thus the quantum theory is distinct from a quantization of standard Einstein gravity. Here we show that within a truncation of the full Renormalization Group flow of unimodular quantum gravity, there is a non-trivial ultraviolet-attractive fixed point, yielding a UV completion for unimodular gravity. We discuss important differences to the standard asymptotic-safety scenario for gravity, and provide further evidence for this scenario by investigating a new form of the gauge-fixing and ghost sector.

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Cited by 5 Pith papers

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

  1. Renormalization group flows in area-metric gravity

    gr-qc 2025-07 conditional novelty 7.0 of 10

    The first renormalization group analysis of area-metric gravity shows shape-mismatching masses grow toward the infrared, parity is not emergent, and the Immirzi parameter flow has fixed points at γ=0 and γ=∞.

  2. 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.

  3. The Goldstone Awakens: Unimodular dark energy in scale-invariant $R^2$ gravity

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.

  4. Improved unimodular black holes with self-consistent renormalization scale identification

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Renormalization group improved unimodular black holes with self-consistent radial scale identification yield non-singular metrics and associated mass gaps.

  5. 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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