A conformal model of gravitons

Understand

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.