Zooming in on fermions and quantum gravity

Abstract

We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptotic-safety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion fields in the ultraviolet. Its backreaction on the properties of the Reuter fixed point remains small for finite fermion numbers within a bounded range. This constitutes a nontrivial test of the asymptotic-safety scenario for gravity and fermionic matter, additionally supplemented by our studies of the momentum-dependent vertex flow which indicate the subleading nature of higher-derivative couplings. Moreover our study provides further indications that the critical surface of the Reuter fixed point has a low dimensionality even in the presence of matter.

arXiv comment25 pages, 15 figures

References in corpus (76)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• 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
• Quantum Einstein Gravity
• Asymptotic safety in higher-derivative gravity
• Introduction to the functional RG and applications to gauge theories
• Flow Equations for N Point Functions and Bound States
• Fundamentals of the Exact Renormalization Group
• Black Hole Entropy and Entropy of Entanglement
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Matter matters in asymptotically safe quantum gravity
• Asymptotic safety guaranteed
• Asymptotically Safe Lorentzian Gravity
• Further evidence for asymptotic safety of quantum gravity
• xPerm: fast index canonicalization for tensor computer algebra
• xPert: Computer algebra for metric perturbation theory
• Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
• Asymptotic safety of gravity-matter systems
• Local Quantum Gravity
• Scaling Exponents in Quantum Gravity near Two Dimensions
• 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
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Asymptotic safety of quantum gravity beyond Ricci scalars
• Renormalization group fixed points of foliated gravity-matter systems
• Gravitational corrections to Yukawa systems
• Light fermions in quantum gravity
• Asymptotically safe cosmology - a status report
• An asymptotically safe solution to the U(1) triviality problem
• Quantum-gravity effects on a Higgs-Yukawa model
• The Invar Tensor Package
• Quantum-gravity-induced matter self-interactions in the asymptotic-safety scenario
• 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
• Viability of quantum-gravity induced ultraviolet completions for matter
• A proper fixed functional for four-dimensional Quantum Einstein Gravity
• Mass difference for charged quarks from asymptotically safe quantum gravity
• Quantum gravity and Standard-Model-like fermions
• Gluon Condensation in Nonperturbative Flow Equations
• Chiral fermions in asymptotically safe quantum gravity
• The Invar tensor package: Differential invariants of Riemann
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Effective universality in quantum gravity
• Renormalisation group flows for gauge theories in axial gauges
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Nonminimal hints for asymptotic safety
• Background independence in a background dependent renormalization group
• Functional renormalization with fermions and tetrads
• FormTracer - A Mathematica Tracing Package Using FORM
• Large curvature and background scale independence in single-metric approximations to asymptotic safety
• The background scale Ward identity in quantum gravity
• Multicritical behavior in models with two competing order parameters
• Fermions in gravity with local spin-base invariance
• On the physical mechanism underlying Asymptotic Safety
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Background Scale Independence in Quantum Gravity
• The unitary conformal field theory behind 2D Asymptotic Safety
• Safe Pati-Salam
• Global surpluses of spin-base invariant fermions
• Spin-base invariance of Fermions in arbitrary dimensions
• Discovering and quantifying nontrivial fixed points in multi-field models

Cited by in corpus (47)

• The nonperturbative functional renormalization group and its applications
• Resolving Spacetime Singularities within Asymptotic Safety
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Quantum gravity: a fluctuating point of view
• Finite Quantum Gravity Amplitudes -- no strings attached
• Dark Matter meets Quantum Gravity
• Variable Planck mass from the gauge invariant flow equation
• Constraining power of asymptotic safety for scalar fields
• Lorentz invariance violations in the interplay of quantum gravity with matter
• Light charged fermions in quantum gravity
• Asymptotic safety, string theory and the weak gravity conjecture
• Safety in darkness: Higgs portal to simple Yukawa systems
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• On the impact of Majorana masses in gravity-matter systems
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotic Safety: Swampland or Wonderland?
• Asymptotically Safe Gravity with Fermions
• Gravitational antiscreening in stellar interiors
• Predictive power of grand unification from quantum gravity
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• From quantum gravity to gravitational waves through cosmic strings
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Asymptotic freedom and safety in quantum gravity
• Are there ALPs in the asymptotically safe landscape?
• A curvature bound from gravitational catalysis in thermal backgrounds
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• On the weak-gravity bound for a shift-symmetric scalar field
• Constraints on discrete global symmetries in quantum gravity
• On characterizing the Quantum Geometry underlying Asymptotic Safety
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Reconstructing the graviton
• Is asymptotically safe inflation eternal?
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ in the Asymptotically Safe Standard Model
• Lectures in 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
• Towards a Higgs mass determination in asymptotically safe gravity with a dark portal
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Scaling solutions for asymptotically free quantum gravity
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
• Asymptotically Safe Gravity-Fermion systems on curved backgrounds
• Fate of chiral symmetry in Riemann-Cartan geometry