Meta-stable supersymmetry breaking in a cooling universe

We look at the recently proposed idea that susy breaking can be accomplishedin a meta-stable vacuum. In the context of one of the simplest models (theSeiberg-dual of super-QCD), we address the following question: if we look atthis theory as it cools from high temperature, is it at all possible that wecan end up in a susy-breaking meta-stable vacuum? To get an idea about theanswer, we look at the free energy of the system at high temperature. Weconclude that the phase-structure of the free-energy as the temperature drops,is indeed such that there is a second order phase transition in the directionof the non-susy vacuum at a finite $T=T_c^Q$. On the other hand, the potentialbarrier in the direction of the susy vacuum is there all the way till $T \sim0$.Comment: writing full author name