In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.
Asymptotic safety in higher- derivative gravity
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abstract
We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative ultraviolet fixed point into a non-trivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.
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Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N depending on improved schemes.
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Towards theory constraints on ultralight dark matter from quantum gravity
In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.
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Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow
Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
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Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity
Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N depending on improved schemes.