Supersymmetric O(N) models in d=3 with functional renormalization group (FRG) methods

While a lot of results concerning scalar O(N) models are known, much less is known for supersymmetric O(N) models. The 1/N expansions were examined in some earlier works with the help of the Hartree-Fock approximation. In this talk results for all N are presented. These results were obtained by using FRG methods and a manifest supersymmetric regulator. For finite N fixed point solutions and critical exponents are obtained. We comment on effects of different truncations in the effective average action. Starting point is the LPA approximation. In a second step a wave function renormalization is included and deviations from LPA solution are discussed. This is done for a field dependent and field independent form of the wave function renormalization. This knowledge could also prove to be helpful for further FRG studies of supersymmetric theories.