Journal article 851 views
Localised distributions and criteria for correctness in complex Langevin dynamics
Gert Aarts 
,
Pietro Giudice,
Erhard Seiler
,
Pietro Giudice,
Erhard Seiler
Annals of Physics, Volume: "337", Pages: 238 - 260
Swansea University Author:
Gert Aarts
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DOI (Published version): 10.1016/j.aop.2013.06.019
Abstract
Complex Langevin dynamics can solve the sign problem appearing in numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process...
| Published in: | Annals of Physics |
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| ISSN: | 00034916 |
| Published: |
2013
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa22578 |
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| Abstract: |
Complex Langevin dynamics can solve the sign problem appearing in numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process. In the context of a simple model, we study this distribution by solving the Fokker-Planck equation as well as by brute force and relate the results to the recently derived criteria for correctness. We demonstrate analytically that it is possible that the distribution has support in a strip in the complexified configuration space only, in which case correct results are expected. |
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| Item Description: |
@articleAarts:2013uza, author = "Aarts, Gert and Giudice, Pietro and Seiler, Erhard", title = "Localised distributions and criteria for correctness in complex Langevin dynamics", journal = "Annals Phys.", volume = "337", pages = "238-260", doi = "10.1016/j.aop.2013.06.019", year = "2013", eprint = "1306.3075", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1306.3075;%%", |
| College: |
Faculty of Science and Engineering |
| Start Page: |
238 |
| End Page: |
260 |