The weak-gravity bound in asymptotically safe gravity-gauge systems

Abstract

The weak-gravity bound has been discovered in asymptotically safe gravity-matter systems, where it limits the maximum strength of gravitational fluctuations. In the present paper, we explore it for the first time in systems with more than one gauge field, to discover whether systems with 12 gauge fields (like the Standard Model) exhibit a weak-gravity bound and whether the gravitational fixed point evades it. Further, we test the robustness of the present and previous results on the weak-gravity bound by exploring their dependence on a gravitational gauge parameter. Finally, the existence of the weak-gravity bound also has important phenomenological consequences: it is key to a proposed mechanism that bounds the spacetime dimensionality from above to four or five dimensions. In this paper, we strengthen the evidence for this mechanism. Thus, the predictive power of the asymptotic safety paradigm could extend to parameters of the spacetime geometry, such that the four-dimensionality of our universe could be explained from first principles.

33 pages, 7 figures

References in corpus (32)

• Exact evolution equation for the effective potential
• The Swampland: Introduction and Review
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• On the renormalization group flow of f(R)-gravity
• xPerm: fast index canonicalization for tensor computer algebra
• xPert: Computer algebra for metric perturbation theory
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Asymptotic safety in the f(R) approximation
• Top mass from asymptotic safety
• Search of scaling solutions in scalar-tensor gravity
• The Renormalization Group flow of unimodular f(R) gravity
• Ghost anomalous dimension in asymptotically safe quantum gravity
• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Quantum gravity and Standard-Model-like fermions
• The Invar tensor package: Differential invariants of Riemann
• The Universal RG Machine
• Absence of gravitational contributions to the running Yang-Mills coupling
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Quantum gravity and charge renormalization
• Correlation functions on a curved background
• Renormalization Group Equation for $f(R)$ gravity on hyperbolic spaces
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• Essential Quantum Einstein Gravity
• Asymptotic Safety, Emergence and Minimal Length
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Asymptotic Safety: Swampland or Wonderland?
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe Gravity with Fermions
• Relational observables in Asymptotically safe gravity
• Asymptotic freedom and safety in quantum gravity
• Provable properties of asymptotic safety in $f(R)$ approximation

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• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme