Conference Paper/Proceeding/Abstract 967 views 70 downloads
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant
Proceedings of Science (Lattice 2016), Issue: 092
Swansea University Author:
Gert Aarts
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Abstract
Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or...
Published in: | Proceedings of Science (Lattice 2016) |
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University of Southampton
34th annual International Symposium on Lattice Field Theory
2016
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https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256 |
URI: | https://cronfa.swan.ac.uk/Record/cronfa31613 |
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2017-07-27T17:17:15.9330614 v2 31613 2017-01-10 On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2017-01-10 SPH Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or at least in a region where support for the distribution is very much suppressed. We investigate this issue for Heavy Dense QCD (HDQCD) and full QCD at high temperatures. In HDQCD it is found that the configurations move closest to the zeroes of the measure around the critical chemical potential of the onset transition, where the sign problem is diminished, but results remain largely unaffected. In full QCD at high temperatures the investigation of the spectrum of the Dirac operator yields a similar observation: the results are unaffected by the issue of the poles. Conference Paper/Proceeding/Abstract Proceedings of Science (Lattice 2016) 092 34th annual International Symposium on Lattice Field Theory University of Southampton 9 11 2016 2016-11-09 https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2017-07-27T17:17:15.9330614 2017-01-10T16:27:09.2808404 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gert Aarts 0000-0002-6038-3782 1 0031613-28042017140112.pdf 1611.02931.pdf 2017-01-10T16:27:21.4170000 Output 7791940 application/pdf Author's Original true 2017-01-10T00:00:00.0000000 true |
title |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
spellingShingle |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant Gert Aarts |
title_short |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
title_full |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
title_fullStr |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
title_full_unstemmed |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
title_sort |
On complex Langevin dynamics and zeroes of the measure II: Fermionic determinant |
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1ba0dad382dfe18348ec32fc65f3f3de |
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Gert Aarts |
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Gert Aarts |
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Conference Paper/Proceeding/Abstract |
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Proceedings of Science (Lattice 2016) |
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092 |
publishDate |
2016 |
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Swansea University |
publisher |
34th annual International Symposium on Lattice Field Theory |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
url |
https://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=256 |
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description |
Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic determinant are outside of the distribution of the configurations, or at least in a region where support for the distribution is very much suppressed. We investigate this issue for Heavy Dense QCD (HDQCD) and full QCD at high temperatures. In HDQCD it is found that the configurations move closest to the zeroes of the measure around the critical chemical potential of the onset transition, where the sign problem is diminished, but results remain largely unaffected. In full QCD at high temperatures the investigation of the spectrum of the Dirac operator yields a similar observation: the results are unaffected by the issue of the poles. |
published_date |
2016-11-09T03:38:37Z |
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1763751721934258176 |
score |
11.021648 |