Quantum Gravity and String Theory

    

Letter Asymptotically Safe Gravity in a Product-Polynomial Truncation

Authors: Holger Döring

Studied is a product-polynomial truncation of the gravitational effective average action, exactly reproducing the Einstein—Hilbert sector and including the full set of quadratic curvature invariants in four dimensions.A non-Gaussian ultraviolet fixed point is found with exactly two relevant and two irrelevant directions, demonstrating the robustness of the Einstein—Hilbert sector under higher-curvature extensions. Quadratic curvature operators are irrelevant, dynamically generating the hierarchy required by gravitational effective field theory.No additional relevant Weyl-squared direction emerges, indicating a suppression of conformal spin-2 dynamics in the ultraviolet.The resulting RG flow predicts the infrared emergence of classical Einstein gravity and supports asymptotic safety as a consistent ultraviolet completion.

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[v1] 2026-02-02 17:57:12

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