Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators

Abstract

We explore the effect of quantum gravity on matter within a Renormalization Group framework. First, our results provide an explicit example of how misleading conclusions can be drawn by analyzing the gravitational contributions to beta functions, instead of analyzing universal quantities, such as critical exponents, that can be extracted from the beta functions. This could be key to explain differences between perturbative studies and Functional Renormalization Group studies. Second, we strengthen the evidence that asymptotically safe gravity could generate a predictive ultraviolet completion for matter theories with gauge interactions, even in the limit of vanishing dimensionful regulator function. We also find that the situation can be more subtle with higher-order, gravity-induced matter interactions.

23 pages + Appendix, 10 figures

References in corpus (22)

• Exact evolution equation for the effective potential
• Asymptotic safety guaranteed
• xPert: Computer algebra for metric perturbation theory
• Top mass from asymptotic safety
• Search of scaling solutions in scalar-tensor gravity
• The Renormalization Group flow of unimodular f(R) 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
• Absence of gravitational contributions to the running Yang-Mills coupling
• Constraining power of asymptotic safety for scalar fields
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• The path integral of unimodular gravity
• Light charged fermions in quantum gravity
• Scalar-Tensor theories within Asymptotic Safety
• Can quantum fluctuations differentiate between standard and unimodular gravity?
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Functional Renormalization and $\overline{\text{MS}}$
• Are there ALPs in the asymptotically safe landscape?
• Limit of vanishing regulator in the functional renormalization group

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• Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
• Indications against dynamical CPT symmetry restoration in quantum gravity