Supersymmetry and the functional renormalization group

Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. Many approaches to investigate this problem break supersymmetry explicitly and it is hard to distinguish between dynamical and explicit supersymmetry breaking. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore they offer a promising tool to investigate the dynamical breaking of supersymmetry. In this talk we employ this method to investigate the N=1 Wess-Zumino model in three dimensions at finite temperature. We recover many aspects of finite temperature QFT such as dimensional reduction and the the Stefan-Boltzmann law. Also we discuss supersymmetry breaking through the thermal boundary conditions and the phase diagram for the breaking of the Z2-symmetry at finite temperatures.