• DOI:10.22323/1.430.0279
• Corpus ID: 252918660

A stabilizing kernel for complex Langevin simulations of real-time gauge theories

@article{Boguslavski2022ASK,
  title={A stabilizing kernel for complex Langevin simulations of real-time gauge theories},
  author={Kirill Boguslavski and Paul Hotzy and David. I. Muller},
  journal={Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)},
  year={2022}
}

• K. Boguslavski, Paul Hotzy, D. Muller
• Published 14 October 2022
• Computer Science
• Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

The complex Langevin (CL) method is a promising approach to overcome the sign problem, which emerges in real-time formulations of quantum field theories. Over the past decade, stabilization techniques for CL have been developed with important applications in finite density QCD. However, they are insufficient for SU( 𝑁 𝑐 ) gauge theories on a Schwinger-Keldysh time contour that is required for a real-time formulation. In these proceedings we revise the discretization of the real-time CL equations and introduce a novel anisotropic kernel that enables CL simulations on discretized time contours. Applying it to SU(2) Yang-Mills theory in 3+1 dimensions, we obtain unprecedentedly stable results that may allow us to calculate real-time observables from first principles.