Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition
arXiv:2309.16230 · doi:10.1103/PhysRevD.109.106018
Abstract
We formulate a model for quantum gravity based on the local Lorentz symmetry and general coordinate invariance. A key idea is the irreversible vierbein postulate that a tree-level action for the model at a certain energy scale does not contain an inverse vierbein. Under this postulate, only the spinor becomes a dynamical field, and no gravitational background field is introduced in the tree-level action. In this paper, after explaining the transformation rules of the local Lorentz and general-coordinate transformations in detail, a tree-level action is defined. We show that fermionic fluctuations can induce a nonvanishing gravitational background field.
51 pages, 3 figures, version published in PRD, a typo fixed in Eqs.(199), (200) and above them
References in corpus (38)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quantum Gravity at a Lifshitz Point
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Nonperturbative Evolution Equation for Quantum Gravity
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Quantum Einstein Gravity
- Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
- The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
- Quantum Gravity, Torsion, Parity Violation and all that
- Tabletop experiments for quantum gravity: a user's manual
- A class of elementary particle models without any adjustable real parameters
- The Higgs Phenomenon in Quantum Gravity
- Exploring Cosmic Origins with CORE: Survey requirements and mission design
- Fakeons And Lee-Wick Models
- Running Gauge Coupling in Asymptotically Safe Quantum Gravity
- Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
- Hořava Gravity after GW170817
- Status of the asymptotic safety paradigm for quantum gravity and matter
- Gravity from Spinors
- A Note on Lie-Lorentz Derivatives
- Fixed Points of Nonlinear Sigma Models in d>2
- Renormalization Group Flow of the Holst Action
- Fermions in gravity with local spin-base invariance
- Einstein-Cartan gravity, Asymptotic Safety, and the running Immirzi parameter
- Spinor Gravity
- Gravitational waves and the polarizations in Hořava gravity after GW170817
- Non-perturbative QEG Corrections to the Yang-Mills Beta Function
- Average Effective Potential for the Conformal Factor
- POLARBEAR-2: an instrument for CMB polarization measurements
- Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
- Pregeometry and spontaneous time-space asymmetry
- Tensor-to-scalar ratio forecasts for extended LiteBIRD frequency configurations
- Neutron star sensitivities in Hořava gravity after GW170817
- Pregeometry and euclidean quantum gravity
- Dynamically emergent gravity from hidden local Lorentz symmetry
- Gravity from symmetry breaking phase transition
- Ultraviolet Sensitivity in Higgs-Starobinsky Inflation
- Quantum Mechanical Breaking of Local GL(4) Invariance