Einstein-Cartan gravity, matter, and scale-invariant generalization

Understand

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework.

• We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in curvature.
• By resolving the theory explicitly for torsion, we arrive at an equivalent metric theory containing additional six-dimensional operators.
• This lays the groundwork for cosmological studies of the theory.