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Asymptotic safety of gravity with matter
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The asymptotic-safety paradigm posits that the symmetry of quantum theories of gravity and matter is enhanced to quantum scale symmetry, i.e., scale symmetry in the presence of quantum fluctuations, at very high energies. To achieve such a symmetry enhancement, the effect of quantum fluctuations must balance out. It is to be expected that such a balance can only be achieved within a set of theories with limited field content and interaction structure. In this chapter, we review how much is known about these limits. From the quantum scale invariant regime, the theory transits to a theory with distinct physical scales - most importantly masses for various elementary particles - at low energies. There, quantum scale invariance can leave its imprint in relations between various interactions and mass scales of the theory. These relations can be compared to experimental data, which has two possible implications: first, if the relations do not match the data, the underlying quantum theory of gravity and matter, formulated at and beyond the Planck scale, has been ruled out using experimental data from energies much below the Planck scale. Second, if the relations match the data, the asymptotic-safety paradigm provides a first-principles derivation of free parameters of the Standard Model. Most importantly, this may include the ratios of the Higgs mass to the electroweak scale as well as the value of the finestructure constant. Similarly, theories beyond the Standard Model may come with fewer free parameters than in their effective-field-theory incarnation without gravity. This may lead to an explanation of the smallness of neutrinos masses and predictions for the nature and interactions of dark matter.
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Cited by 15 Pith papers
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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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Renormalization group flows in area-metric gravity
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=∞.
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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity
Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.
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Impact of quantum gravity on the UV sensitivity of extremal black holes
Asymptotically safe quantum gravity predicts a positive Goroff-Sagnotti Wilson coefficient at the Planck scale, which would keep extremal Kerr black hole tidal forces finite, but the paper's bound on the quantum gravi...
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Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity
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.
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Self-consistent graviton spectral function in Lorentzian quantum gravity
A self-consistent spectral renormalisation group computation yields a positive, normalizable graviton spectral function with a massless pole and a multi-graviton continuum decaying as 1/(λ² log³ λ²).
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Matter Spectral Functions from Quantum Gravity
Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.
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Neutrino mass generation in asymptotically safe gravity
In asymptotically safe gravity, the Weinberg operator is shown to be irrelevant, so Standard Model neutrinos cannot get masses without new fields; type-I seesaw scales are bounded from above.
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Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems
Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.
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$e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model
Using reconstructed timelike graviton spectral functions, the authors find that the e+e- to mu+mu- cross-section in the asymptotically safe Standard Model falls as 1/s in the ultraviolet and is compatible with unitarity.
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Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
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.
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Charting GLOBs in Asymptotically Safe Gravity
Within the Einstein-Weyl truncation, asymptotically safe gravity predicts a Weyl coefficient m_2 = 1.4 m_Pl, which constrains the phase diagram of compact objects: attractive naked singularities are disfavored while w...
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On the Renormalization Group flow of distributions
A continuity equation governs the RG flow of coupling distributions, so the most probable coupling after evolution need not follow the most probable initial trajectory.
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Thermal RG Flow of AS Quantum Gravity
In the T = τ k thermal RG scheme, the Reuter fixed point's Newton coupling vanishes as τ → ∞, leaving only the symmetric phase of Einstein-Hilbert asymptotically safe gravity.
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Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
The paper argues that an effective 'hydrodynamics on superspace' framework, realized in TGFT condensate cosmology, can unify quantum gravity and cosmology.
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