An overview is given on the description of rotational bands in normally deformed and superdeformed nuclei in the framework of effective field theories such as the Relativistic Mean Field (RMF) theory and the Relativistic Hartree--Bogoliubov (RHB) theory. In particular we discuss recent investigations for the description of superdeformed bands in the A\sim 60, 140--150 and 190 mass regions and compare them briefly with the results obtained in non-relativistic mean field theories.

PACS numbers: 21.60.Cs, 21.60.Jz, 27.80.+w