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Complex Langevin boundary terms in lattice models

2021/12/06 by Michael W. Hansen, Hansen, Michael W., Erhard Seiler +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.2112.02924

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

arxiv created 2021/12/06 · openalex publication_date 2021/12/06 · arxiv updated 2021/12/07 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

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.

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