# 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} }

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…

## 3 Citations

### Kernel controlled real-time Complex Langevin simulation

- Computer ScienceEPJ Web of Conferences
- 2022

This study explores the utility of a kernel in complex Langevin simulations of quantum real-time dynamics on the Schwinger-Keldysh contour with the 0 + 1 dimensional anharmonic oscillator using m = 1; λ = 24, which was previously unattainable using thecomplex Langevin equation.

### Towards learning optimized kernels for complex Langevin

- Computer Science
- 2022

This work modify complex Langevin using kernels and proposes the use of modern auto-diﬀerentiation methods to learn optimal kernel values, guided by functionals encoding relevant prior information, such as symmetries or Euclidean correlator data.

### Inverse problems, real-time dynamics and lattice simulations

- Physics, MathematicsEPJ Web of Conferences
- 2022

The determination of real-time dynamics of strongly coupled quantum fields is a central goal of modern nuclear and particle physics, which requires insight into quantum field theory beyond the…

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