The Phase Diagram for Wess-Zumino Models

Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore they offer a promising tool to investigate dynamical supersymmetry breaking. Here we will employ this method to derive the phase diagram and a surprisingly rich RG fixed-point structure with corresponding critical exponents for the $\mathcal{N}=1$ Wess-Zumino model in two dimensions.