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By identifying the recently introduced Barbero-Immirzi field with the QCDaxion, the strong CP problem can be solved through the Peccei-Quinn mechanism.A specific energy scale for the Peccei-Quinn symmetry breaking is naturallypredicted by this model. This provides a complete dynamical setting to evaluatethe contribution of such an axion to the cold dark matter content of theUniverse. Furthermore, a tight upper bound on the tensor-to-scalar ratioproduction of primordial gravitational waves can be fixed, representing astrong experimental test for this model.

A solution of the strong CP problem via the Peccei-Quinn mechanism through the Nieh-Yan modified gravity and cosmological implications