Towards stabilizing the Complex Langevin method for the real-time evolution of non-Abelian gauge theories

Abstract

The Complex Langevin (CL) method is a promising approach to overcome the numerical sign problem which renders the calculation of expectation values in theories with complex actions unfeasible for standard numerical methods. Over the past decade, important stabilisation techniques for CL have been developed with major applications in finite density QCD. In this work we use them for real-time SU(2) Yang-Mills simulations based on the Schwinger-Keldysh formalism. We improve these techniques for the real-time case to avoid numerical instabilities and to alleviate the problem of wrong convergence.