Asymptotically Safe Gravity-Fermion systems on curved backgrounds
arXiv:2107.01071
Abstract
We set up a consistent background field formalism for studying the renormalization group (RG) flow of gravity coupled to Dirac fermions on maximally symmetric backgrounds. Based on Wetterich's equation we perform a detailed study of the resulting fixed point structure in a projection including the Einstein-Hilbert action, the fermion anomalous dimension, and a specific coupling of the fermion bilinears to the spacetime curvature. The latter constitutes a mass-type term which breaks chiral symmetry explicitly. Our analysis identifies two infinite families of interacting RG fixed points which are viable candidates to provide a high-energy completion through the asymptotic safety mechanism. The fixed points exist for all values of outside of a small window situated at low values and become weakly coupled in the large -limit. Symmetry-wise, they correspond to "quasi-chiral" and "non-chiral" fixed points. The former come with enhanced predictive power, fixing one of the couplings via the asymptotic safety condition. Moreover, the interplay of the fixed points allows for cross-overs from the non-chiral to the chiral fixed point, giving a dynamical mechanism for restoring the symmetry approximately at intermediate scales. Our discussion of chiral symmetry breaking effects provides strong indications that the topology of spacetime plays a crucial role when analyzing whether quantum gravity admits light chiral fermions.
arXiv comment56 pages, 15 figures
References in corpus (78)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Nonperturbative Evolution Equation for Quantum Gravity
- The Exact Renormalisation Group and Approximate Solutions
- Optimised Renormalisation Group Flows
- The nonperturbative functional renormalization group and its applications
- Optimisation of the exact renormalisation group
- Fixed points of quantum gravity
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Asymptotic safety of gravity and the Higgs boson mass
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Matter matters in asymptotically safe quantum gravity
- On the renormalization group flow of f(R)-gravity
- Asymptotically Safe Lorentzian Gravity
- Further evidence for asymptotic safety of quantum gravity
- Taming perturbative divergences in asymptotically safe gravity
- Asymptotic safety of gravity-matter systems
- Renormalization Group Flow in Scalar-Tensor Theories. I
- Local Quantum Gravity
- The Gravitational Two-Loop Counterterm is Asymptotically Safe
- Towards apparent convergence in asymptotically safe quantum gravity
- Top mass from asymptotic safety
- Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
- Global Flows in Quantum Gravity
- One force to rule them all: asymptotic safety of gravity with matter
- Quantum gravity on foliated spacetime - asymptotically safe and sound
- Asymptotic safety of quantum gravity beyond Ricci scalars
- Renormalization group fixed points of foliated gravity-matter systems
- Generalized Parametrization Dependence in Quantum Gravity
- Ghost anomalous dimension in asymptotically safe quantum gravity
- A flow equation for f(R) gravity and some of its exact solutions
- Lectures on renormalization and asymptotic safety
- Aspects of asymptotic safety for quantum gravity
- Matter Induced Bimetric Actions for Gravity
- Quantum-gravity effects on a Higgs-Yukawa model
- Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
- Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
- Upper bound on the Abelian gauge coupling from asymptotic safety
- Curvature dependence of quantum gravity
- Quantum gravity fluctuations flatten the Planck-scale Higgs potential
- Viability of quantum-gravity induced ultraviolet completions for matter
- Renormalization Group Equation and scaling solutions for f(R) gravity in exponential parametrization
- Ghost wave-function renormalization in Asymptotically Safe Quantum Gravity
- Mass difference for charged quarks from asymptotically safe quantum gravity
- Asymptotic safety in an interacting system of gravity and scalar matter
- Quantum gravity and Standard-Model-like fermions
- How perturbative is quantum gravity?
- Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
- Higgs scalar potential in asymptotically safe quantum gravity
- Zooming in on fermions and quantum gravity
- Finite Quantum Gravity Amplitudes -- no strings attached
- Dark Matter meets Quantum Gravity
- Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
- Nonminimal hints for asymptotic safety
- Correlation functions on a curved background
- Functional renormalization with fermions and tetrads
- Conformally reduced quantum gravity revisited
- Towards the determination of the dimension of the critical surface in asymptotically safe gravity
- Asymptotic safety and field parametrization dependence in the f(R) truncation
- Constraining power of asymptotic safety for scalar fields
- Consistency of matter models with asymptotically safe quantum gravity
- Towards reconstructing the quantum effective action of gravity
- as the critical dimensionality of asymptotically safe interactions
- Fermions in gravity with local spin-base invariance
- Light charged fermions in quantum gravity
- Safety in darkness: Higgs portal to simple Yukawa systems
- On the impact of Majorana masses in gravity-matter systems
- Asymptotically Safe -Gravity Coupled to Matter II: Global Solutions
- Asymptotically Safe Gravity with Fermions
- Curvature dependence of quantum gravity with scalars
- A curvature bound from gravitational catalysis
- Global surpluses of spin-base invariant fermions
- Spin-base invariance of Fermions in arbitrary dimensions
- Background Independent Field Quantization with Sequences of Gravity-Coupled Approximants
- Gravitational instantons and anomalous chiral symmetry breaking
- A curvature bound from gravitational catalysis in thermal backgrounds
- Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic space
- Reconstructing the graviton