Complex Langevin Simulations of QCD at Finite Density – Progress Report
We simulate lattice QCD at finite quark-number chemical potential to study nuclear matter, using the complex Langevin equation (CLE). The CLE is used because the fermion determinant is complex so that standard methods relying on importance sampling fail. Adaptive methods and gauge-cooling are used t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817507031 |
| _version_ | 1818438639137325056 |
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| author | Sinclair D. K. Kogut J. B. |
| author_facet | Sinclair D. K. Kogut J. B. |
| author_sort | Sinclair D. K. |
| collection | DOAJ |
| description | We simulate lattice QCD at finite quark-number chemical potential to study nuclear matter, using the complex Langevin equation (CLE). The CLE is used because the fermion determinant is complex so that standard methods relying on importance sampling fail. Adaptive methods and gauge-cooling are used to prevent runaway solutions. Even then, the CLE is not guaranteed to give correct results. We are therefore performing extensive testing to determine under what, if any, conditions we can achieve reliable results. Our earlier simulations at β = 6/g2 = 5.6, m = 0.025 on a 124 lattice reproduced the expected phase structure but failed in the details. Our current simulations at β = 5.7 on a 164 lattice fail in similar ways while showing some improvement. We are therefore moving to even weaker couplings to see if the CLE might produce the correct results in the continuum (weak-coupling) limit, or, if it still fails, whether it might reproduce the results of the phase-quenched theory. We also discuss action (and other dynamics) modifications which might improve the performance of the CLE. |
| first_indexed | 2024-12-14T17:43:46Z |
| format | Article |
| id | doaj.art-9a1b3c2fe282409282f6bfeb22aeb0b9 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-14T17:43:46Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-9a1b3c2fe282409282f6bfeb22aeb0b92022-12-21T22:52:47ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750703110.1051/epjconf/201817507031epjconf_lattice2018_07031Complex Langevin Simulations of QCD at Finite Density – Progress ReportSinclair D. K.Kogut J. B.We simulate lattice QCD at finite quark-number chemical potential to study nuclear matter, using the complex Langevin equation (CLE). The CLE is used because the fermion determinant is complex so that standard methods relying on importance sampling fail. Adaptive methods and gauge-cooling are used to prevent runaway solutions. Even then, the CLE is not guaranteed to give correct results. We are therefore performing extensive testing to determine under what, if any, conditions we can achieve reliable results. Our earlier simulations at β = 6/g2 = 5.6, m = 0.025 on a 124 lattice reproduced the expected phase structure but failed in the details. Our current simulations at β = 5.7 on a 164 lattice fail in similar ways while showing some improvement. We are therefore moving to even weaker couplings to see if the CLE might produce the correct results in the continuum (weak-coupling) limit, or, if it still fails, whether it might reproduce the results of the phase-quenched theory. We also discuss action (and other dynamics) modifications which might improve the performance of the CLE.https://doi.org/10.1051/epjconf/201817507031 |
| spellingShingle | Sinclair D. K. Kogut J. B. Complex Langevin Simulations of QCD at Finite Density – Progress Report EPJ Web of Conferences |
| title | Complex Langevin Simulations of QCD at Finite Density – Progress Report |
| title_full | Complex Langevin Simulations of QCD at Finite Density – Progress Report |
| title_fullStr | Complex Langevin Simulations of QCD at Finite Density – Progress Report |
| title_full_unstemmed | Complex Langevin Simulations of QCD at Finite Density – Progress Report |
| title_short | Complex Langevin Simulations of QCD at Finite Density – Progress Report |
| title_sort | complex langevin simulations of qcd at finite density progress report |
| url | https://doi.org/10.1051/epjconf/201817507031 |
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