Quantum Gravity Model in the framework of Weyl-Cartan geometry

Understand

We study the Weyl vector fields which can play an important role in quantum gravity.

• The metric obtains its dynamical content after dynamical symmetry breaking in the phase of the effective Einstein gravity which is induced by quantum Weyl corrections.
• In low energy regime with scalar field there is a relation between the Weyl vector fields and the torsion fields.
• If this condition is given to Weyl vector fields and torsions, then the Lagrangian becomes like Maxwell type.