Pregeometry and euclidean quantum gravity
arXiv:2101.07849 · doi:10.1016/j.nuclphysb.2021.115526
Abstract
Einstein's general relativity can emerge from pregeometry, with the metric composed of more fundamental fields. We formulate euclidean pregeometry as a - Yang-Mills theory. In addition to the gauge fields we include a vector field in the vector representation of the gauge group. The gauge - and diffeomorphism - invariant kinetic terms for these fields permit a well-defined euclidean functional integral, in contrast to metric gravity with the Einstein-Hilbert action. The propagators of all fields are well behaved at short distances, without tachyonic or ghost modes. The long distance behavior is governed by the composite metric and corresponds to general relativity. In particular, the graviton propagator is free of ghost or tachyonic poles despite the presence of higher order terms in a momentum expansion of the inverse propagator. This pregeometry seems to be a valid candidate for euclidean quantum gravity, without obstructions for analytic continuation to a Minkowski signature of the metric.
arXiv commentAdditional material on mode expansion., 24 pages
References in corpus (36)
- Exact evolution equation for the effective potential
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Nonperturbative Evolution Equation for Quantum Gravity
- Physical Aspects of the Space-Time Torsion
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
- The Running Gravitational Couplings
- Variable gravity Universe
- A New Class of Ghost and Tachyon Free Metric Affine Gravities
- New Action Principle for General Relativity
- Non-perturbative unitarity and fictitious ghosts in quantum gravity
- Gravity from Spinors
- Renormalization Group Flow of the Holst Action
- Phase transitions in spinor quantum gravity on a lattice
- Einstein-Cartan gravity, Asymptotic Safety, and the running Immirzi parameter
- Gravity and Unification: A review
- Gravity as a diffeomorphism invariant gauge theory
- Spinor Gravity
- Spinors in euclidean field theory, complex structures and discrete symmetries
- Massive Spin-2 fields of Geometric Origin in Curved Spacetimes
- Infrared Modified Gravity with Dynamical Torsion
- Einstein-Cartan gravity, matter, and scale-invariant generalization
- Towards lattice-regularized Quantum Gravity
- On the origin of the difference between time and space
- Quantum correlations for the metric
- Fundamental Scale Invariance
- Pregeometry and spontaneous time-space asymmetry
- A new functional flow equation for Einstein-Cartan quantum gravity
- Cosmology from pregeometry
- Geometry and symmetries in lattice spinor gravity
- Lattice diffeomorphism invariance
- Dynamically emergent gravity from hidden local Lorentz symmetry
- Scalar lattice gauge theory
- Spinor gravity and diffeomorphism invariance on the lattice
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- Pregeometry and spontaneous time-space asymmetry
- Pregeometric First Order Yang-Mills Theory
- Cosmology from pregeometry
- Paths to gravitation via the gauging of parameterized field theories
- Reconstructing the graviton
- Configuration space for quantum gravity in a locally regularized path integral
- Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition
- Spacetime and Planck mass generation from scale-invariant degenerate gravity
- Scaling solutions for asymptotically free quantum gravity
- Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
- Emergence of dynamical tensor fields in composite models of gravity