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Safe essential scalar-tensor theories

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arxiv 2204.08564 v2 pith:PP6OOSJU submitted 2022-04-18 hep-th gr-qc

Safe essential scalar-tensor theories

Benjamin Knorr This is my paper
classification hep-th gr-qc
keywords theoryessentialboundfieldinfraredsafescalar-tensorultraviolet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the renormalisation group flow of all essential couplings of quantum gravity coupled to a shift-symmetric scalar field at fourth order in the derivative expansion. We derive the global structure of the phase diagram, and identify a bounded region in theory space which is both asymptotically safe in the ultraviolet, and connects to standard effective field theory in the infrared. Our system thus satisfies the weak-gravity bound. The allowed infrared behaviour of the essential four-scalar coupling is restricted by requiring an ultraviolet completion. This bound can be saturated by a theory without free parameters, which gives a concrete example for a fully predictive scalar-tensor theory.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scaling Solutions of Matter Form Factors in Asymptotically Safe Quantum Gravity

    hep-th 2026-05 unverdicted novelty 7.0

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  2. Towards gauge independence in asymptotically safe quantum gravity

    hep-th 2026-07 conditional novelty 6.0

    In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussia...

  3. Starobinsky-inflation in asymptotically safe shift-symmetric scalar-tensor theory

    gr-qc 2026-06 unverdicted novelty 6.0

    Starobinsky inflation rules out two of three non-Gaussian fixed points in asymptotically safe scalar-tensor theories, identifying viable RG trajectories from the remaining fixed point.

  4. Physics-informed operator flows and observables

    hep-th 2025-07 unverdicted novelty 6.0

    Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.