Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Algorithms and artificial intelligence
Machine Learning Kernels for Real-Time Complex Langevin
E. Carstensen* and D. Sexty
*: corresponding author
Full text: pdf
Pre-published on: April 16, 2026
Published on:
Abstract
Real time evolution in QFT poses a severe sign problem, which may be alleviated via a complex
Langevin approach. However, so far simulation results consistently fail to converge with a large
real-time extent. A kernel in a complex Langevin equation is known to influence the appearance
of the boundary terms and integration cycles, and thus kernel choice can improve the range of
real-time extents with correct results. For multi-dimensional models the optimal kernel is searched
for using machine learning methods. We test this approach by simulating the simplest possible case,
a 0+1-dimensional scalar field theory in Minkowski space. The performance of band-diagonal
kernels as well as the existence of integration cycles in the theory is also discussed.
DOI: https://doi.org/10.22323/1.518.0033
How to cite

Metadata are provided both in article format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in proceeding format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.