English

Complex Langevin boundary terms in lattice models

High Energy Physics - Lattice 2021-12-07 v1

Abstract

In complex Langevin simulations, the insufficient decay of the probability density near infinity leads to boundary terms that spoil the formal argument for correctness. We present a formulation of this term that is cheaply measurable in lattice models, and in principle allows also the direct estimation of the systematic error of the CL method. Results for a toy model, 3d XY model and HDQCD are presented.

Keywords

Cite

@article{arxiv.2112.02924,
  title  = {Complex Langevin boundary terms in lattice models},
  author = {Michael W. Hansen and Erhard Seiler and Dénes Sexty and Ion-Olimipu Stamatescu},
  journal= {arXiv preprint arXiv:2112.02924},
  year   = {2021}
}

Comments

7 pages, 5 figures, contribution to the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@MIT, USA

R2 v1 2026-06-24T08:05:39.954Z