Journal article 1089 views
Stability of complex Langevin dynamics in effective models
,
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
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DOI (Published version): 10.1007/JHEP03(2013)073
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...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2012
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| Online Access: |
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| 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. |
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| 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 |