Quantum gravity and Standard-Model-like fermions

Abstract

We discover that chiral symmetry does not act as an infrared attractor of the renormalization group flow under the impact of quantum gravity fluctuations. Thus, observationally viable quantum gravity models must respect chiral symmetry. In our truncation, asymptotically safe gravity does, as a chiral fixed point exists. A second non-chiral fixed point with massive fermions provides a template for models with dark matter. This fixed point disappears for more than 10 fermions, suggesting that an asymptotically safe ultraviolet completion for the standard model plus gravity enforces chiral symmetry.

6 pages, 2 figures

References in corpus (13)

• Nonperturbative Quantum Gravity
• Asymptotic safety in higher-derivative gravity
• Asymptotically Safe Lorentzian Gravity
• Asymptotic safety in the f(R) approximation
• Singlet fermionic dark matter
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• Spin-base invariance of Fermions in arbitrary dimensions