20–24 Jan 2025
University of Bern
Europe/Zurich timezone

Machine learning kernels in complex Langevin for real time evolution

23 Jan 2025, 09:15
45m
Lecture Hall 099 (ExWi Building) (University of Bern)

Lecture Hall 099 (ExWi Building)

University of Bern

University of Bern Exakte Wissenschaften (ExWi) Sidlerstrasse 5 3012 Bern Switzerland

Speaker

Enno Carstensen (University of Graz)

Description

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 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, to which analytic solutions are known, and apply machine-learning approaches to different kernel ansatzes (constant, linear, polynomial). The ultimate goal of the project is to use a neural net as a kernel.

Author

Enno Carstensen (University of Graz)

Co-author

Presentation materials