  The complex Langevin (CL) method shows great promise in enabling the
calculation of observables for theories with complex actions. Nevertheless,
real-time quantum field theories have remained largely unsolved due to the
particular severity of the sign problem. In this contribution, we discuss our
recent progress in applying CL to a thermal SU(2) Yang-Mills theory on a 3+1
dimensional lattice. We present our anisotropic kernel that stabilizes the CL
approach for real times longer than the inverse temperature - a first for
Yang-Mills theory. We provide explicit evidence of reproducing symmetries and
relations among different types of propagators when the complex time path
approaches the Schwinger-Keldysh contour. This method paves the way for
calculating transport coefficients and other real-time observables from first
principles.

High Energy Physics - Lattice;Other Condensed Matter;High Energy Physics - Phenomenology;High Energy Physics - Theory;Nuclear Theory