Gravity and quantum fields in discrete space-times

In a 6D model, where the extra dimensions form a discretised curved disk, we investigate the mass spectra and profiles of gravitons and Dirac fermions. The discretisation is performed in detail leading to a star-like geometry. In addition, we use the curvature of the disk to obtain the mass scales of this model in a more flexible way. We also discuss some applications of this setup like generating small fermion masses. (orig.)