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Complex Langevin dynamics and zeroes of the fermion determinant
,
Erhard Seiler,
Dénes Sexty,
Ion-Olimpiu Stamatescu
Journal of High Energy Physics, Volume: 2017, Issue: 5, Start page: 044
Swansea University Author:
Gert Aarts
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DOI (Published version): 10.1007/JHEP05(2017)044
Abstract
QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain conditions are met. One of these conditions, holomorphicity of the Langevin drift, is absent in QCD since zeroes of the det...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2017
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa33659 |
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| Abstract: |
QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain conditions are met. One of these conditions, holomorphicity of the Langevin drift, is absent in QCD since zeroes of the determinant result in a meromorphic drift. We first derive how poles in the drift affect the formal justification of the approach and then explore the various possibilities in simple models. The lessons from these are subsequently applied to both heavy dense QCD and full QCD, and we find that the results obtained show a consistent picture. We conclude that with careful monitoring, the method can be justified a posteriori, even in the presence of meromorphicity. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
5 |
| Start Page: |
044 |