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Chiral fermions in asymptotically safe quantum gravity
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We study the consistency of dynamical fermionic matter with the asymptotic safety scenario of quantum gravity using the functional renormalisation group. Since this scenario suggests strongly coupled quantum gravity in the UV, one expects gravity-induced fermion self-interactions at energies of the Planck-scale. These could lead to chiral symmetry breaking at very high energies and thus to large fermion masses in the IR. The present analysis which is based on the previous works \cite{Christiansen:2015rva, Meibohm:2015twa}, concludes that gravity-induced chiral symmetry breaking at the Planck scale is avoided for a general class of NJL-type models, regardless of the number of fermion flavours. This suggests that the phase diagram for these models is topologically stable under the influence of gravitational interactions.
Forward citations
Cited by 4 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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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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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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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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