Status of Complex Langevin
Max-Planck-Institut für Physik (Werner-Heisenberg-Institut) Föhringer Ring 6
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Published online: 26 March 2018
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.
Plenary Lecture given at Lattice 2017, the 35th International Symposium on Lattice Field Theory, Granada, Spain, 18–24 June 2017. The author gratefully acknowledges many years of collaboration on these matters with G. Aarts, D. Sexty and I.-O. Stamatescu, as well as financial support by the organizers of Lattice 2017 and Deutsche Forschungsgemeinschaft (DFG). I am also grateful to L. L. Salcedo for useful remarks.
© The Authors, published by EDP Sciences, 2018
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