A conformal model of gravitons
arXiv:1609.03524 · doi:10.1103/PhysRevD.96.044006
Abstract
In the description of general covariance, the vierbein and the Lorentz connection can be treated as independent fundamental fields. With the usual gauge Lagrangian, the Lorentz connection is characterized by an asymptotically free running coupling. When running from high energy, the coupling gets large at a scale which can be called the Planck mass. If the Lorentz connection is confined at that scale, the low energy theory can have the Einstein Lagrangian induced at low energy through dimensional transmutation. However, in general there will be new divergences in such a theory and the Lagrangian basis should be expanded. I construct a conformally invariant model with a larger basis size which potentially may have the same property.
15 pages - corrected typos, updated references, small changes in discussion
References in corpus (9)
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- New Action Principle for General Relativity
- Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
- Quadratic gravity: from weak to strong
- Quartic propagators, negative norms and the physical spectrum
- Is the spin connection confined or condensed?
- A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
- Spontaneous generation of the Newton constant in the renormalizable gravity theory
- Poincaré, Scale and Conformal Symmetries: Gauge Perspective and Cosmological Ramifications
Cited by in corpus (16)
- Quadratic Gravity
- Inflationary Perturbations in No-Scale Theories
- Higgs inflation in the Palatini formulation with kinetic terms for the metric
- Quasi-Conformal Models and the Early Universe
- Dimensional Transmutation in Gravity and Cosmology
- Gauge Assisted Quadratic Gravity: A Framework for UV Complete Quantum Gravity
- Gravity and Unification: A review
- Quartic propagators, negative norms and the physical spectrum
- Cosmology with a light ghost
- Weyl Gravity Revisited
- Massive poles in Lee-Wick quantum field theory
- Is the spin connection confined or condensed?
- Inducing the Einstein action in QCD-like theories
- Gravitational Coleman-Weinberg Mechanism
- Quadratic gravity in first order formalism
- Unification of Conformal and Fuzzy Gravities with Internal Interactions resulting in SO(10) and a Possible Probe through Stochastic Gravitational Wave Background