Scale and Weyl Invariance in Einstein-Cartan Gravity

Understand

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance.

• To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field.
• In phenomenological applications the scalar field is associated with the Higgs boson.
• For global scale invariance, an additional field -- dilaton -- is needed to make the theory phenomenologically viable.