Quantum gravity and Standard-Model-like fermions

Abstract

We discover that chiral symmetry does not act as an infrared attractor of the renormalization group flow under the impact of quantum gravity fluctuations. Thus, observationally viable quantum gravity models must respect chiral symmetry. In our truncation, asymptotically safe gravity does, as a chiral fixed point exists. A second non-chiral fixed point with massive fermions provides a template for models with dark matter. This fixed point disappears for more than 10 fermions, suggesting that an asymptotically safe ultraviolet completion for the standard model plus gravity enforces chiral symmetry.

6 pages, 2 figures

References in corpus (69)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• General relativity as an effective field theory: The leading quantum corrections
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Aspects of the Functional Renormalisation Group
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Optimised Renormalisation Group Flows
• Leading Quantum Correction to the Newtonian Potential
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• 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
• Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Quantum Einstein Gravity
• Nonperturbative Quantum Gravity
• An Introduction to the Nonperturbative Renormalization Group
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Asymptotic safety in higher-derivative gravity
• Introduction to the functional RG and applications to gauge theories
• Dynamically Triangulating Lorentzian Quantum Gravity
• Flow Equations for N Point Functions and Bound States
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
• Matter matters in asymptotically safe quantum gravity
• The Running Gravitational Couplings
• Lectures on the functional renormalization group method
• Asymptotically Safe Lorentzian Gravity
• Further evidence for asymptotic safety of quantum gravity
• A non-perturbative Lorentzian path integral for gravity
• Renormalisation group and the Planck scale
• 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
• Asymptotic safety in the f(R) approximation
• Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
• Global Flows in Quantum Gravity
• Singlet fermionic dark matter
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Asymptotic safety: a simple example
• Generalized Parametrization Dependence in Quantum Gravity
• Ghost anomalous dimension in asymptotically safe quantum gravity
• Light fermions in quantum gravity
• The minimal model of fermionic dark matter
• A flow equation for f(R) gravity and some of its exact solutions
• Lectures on renormalization and asymptotic safety
• Quantum-gravity effects on a Higgs-Yukawa model
• Renormalizability of gauge theories in extra dimensions
• A proper fixed functional for four-dimensional Quantum Einstein Gravity
• Ghost wave-function renormalization in Asymptotically Safe Quantum Gravity
• Chiral fermions in asymptotically safe quantum gravity
• The Universal RG Machine
• Consistent closure of renormalization group flow equations in quantum gravity
• Renormalisation of Newton's constant
• Combined analysis of effective Higgs portal dark matter models
• Functional renormalization with fermions and tetrads
• Global solutions of functional fixed point equations via pseudo-spectral methods
• Renormalization Group Equation for $f(R)$ gravity on hyperbolic spaces
• Renormalization Group Flow in Scalar-Tensor Theories. II
• Consistency of matter models with asymptotically safe quantum gravity
• Fermions without Vierbeins in Curved Space-Time
• Fermions in gravity with local spin-base invariance
• Critical O(N) models above four dimensions: Small-N solutions and stability
• Global surpluses of spin-base invariant fermions
• Spin-base invariance of Fermions in arbitrary dimensions
• Observable consequences of quantum gravity: Can light fermions exist?
• No fermion doubling in quantum geometry

Cited by in corpus (68)

• The nonperturbative functional renormalization group and its applications
• Towards apparent convergence in asymptotically safe quantum gravity
• Top mass from asymptotic safety
• One force to rule them all: asymptotic safety of gravity with matter
• Resolving Spacetime Singularities within Asymptotic Safety
• An asymptotically safe solution to the U(1) triviality problem
• Aspects of asymptotic safety for quantum gravity
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Quantum gravity: a fluctuating point of view
• 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
• Mass difference for charged quarks from asymptotically safe quantum gravity
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Higgs scalar potential in asymptotically safe quantum gravity
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Zooming in on fermions and quantum gravity
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Nonminimal hints for asymptotic safety
• Correlation functions on a curved background
• Variable Planck mass from the gauge invariant flow equation
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Constraining power of asymptotic safety for scalar fields
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Lorentz symmetry is relevant
• Asymptotic solutions in asymptotic safety
• Quantum-gravity predictions for the fine-structure constant
• Gravitational wave from dark sector with dark pion
• Light charged fermions in quantum gravity
• Asymptotic safety, string theory and the weak gravity conjecture
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Physical renormalization schemes and asymptotic safety in quantum gravity
• On the impact of Majorana masses in gravity-matter systems
• Infinite order quantum-gravitational correlations
• Quantum improved charged black holes
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe Gravity with Fermions
• Predictive power of grand unification from quantum gravity
• A curvature bound from gravitational catalysis
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Asymptotic freedom and safety in quantum gravity
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Are there ALPs in the asymptotically safe landscape?
• Gravitational instantons and anomalous chiral symmetry breaking
• A curvature bound from gravitational catalysis in thermal backgrounds
• Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• Atom falling into a quantum corrected charged black hole and HBAR entropy
• Constraints on discrete global symmetries in quantum gravity
• Technically natural Higgs boson from Planck scale
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Is asymptotically safe inflation eternal?
• A non-local way around the no-global-symmetries conjecture in quantum gravity?
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Effective scalar potential in asymptotically safe quantum gravity
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Fermionic one-particle states in curved spacetimes
• Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Fate of chiral symmetry in Riemann-Cartan geometry
• Asymptotically Safe Gravity-Fermion systems on curved backgrounds