Status of Complex Langevin

Understand

I review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible.

• I discuss the mathematical justification of the procedure, as well as its limitations and open questions.
• Various pragmatic measures for dealing with the existing problems are described.
• Finally I report on the progress in the application of the method to QCD, with the goal of determining the phase diagram of QCD as a function of temperature and baryonic chemical potential.