Complex Langevin simulations and the QCD phase diagram

Benjamin Jäger (CP3-Origins)

The sign problem emerges in Euclidean lattice simulations as soon as QCD with finite Baryon density is studied, which leads to a complex weight in the relevant path integrals. Complex Langevin simulations have been shown to circumvent the sign problem, even if it is severe. However, in some scenarios, it converges to incorrect results. Here I will discuss a new method that keeps complex Langevin simulations close to the SU(3) manifold and thus improving the convergence. I will further discuss its application towards the ultimate goal of simulating fully dynamical QCD.