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Stability of complex Langevin dynamics in effective models

Gert Aarts Orcid Logo, Frank A. James, Jan M. Pawlowski, Erhard Seiler, Dénes Sexty, Ion-Olimpiu Stamatescu

Journal of High Energy Physics, Volume: "1303", Issue: 3, Start page: 073

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase i...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2012
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa22581
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Abstract: The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail.
Item Description: @articleAarts:2012ft, author = "Aarts, Gert and James, Frank A. and Pawlowski, Jan M. and Seiler, Erhard and Sexty, Denes and others", title = "Stability of complex Langevin dynamics in effective models", journal = "JHEP", volume = "1303", pages = "073", doi = "10.1007/JHEP03(2013)073", year = "2013", eprint = "1212.5231", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1212.5231;%%",
College: Faculty of Science and Engineering
Issue: 3
Start Page: 073