Controlling complex Langevin dynamics at finite density
At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understandin...
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| Main Authors: | , , , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
17 July 2013
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| In: |
The European physical journal. A, Hadrons and nuclei
Year: 2013, Volume: 49, Pages: 1-15 |
| ISSN: | 1434-601X |
| DOI: | 10.1140/epja/i2013-13089-4 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epja/i2013-13089-4
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| Author Notes: | Gert Aarts, Lorenzo Bongiovanni, Erhard Seiler, Dénes Sexty, and Ion-Olimpiu Stamatescu |
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| 520 | |a At nonzero chemical potential the numerical sign problem in lattice field theory limits the use of standard algorithms based on importance sampling. Complex Langevin dynamics provides a possible solution, but it has to be applied with care. In this review, we first summarise our current understanding of the approach, combining analytical and numerical insight. In the second part we study SL(C, ℂ) gauge cooling, which was introduced recently as a tool to control complex Langevin dynamics in nonabelian gauge theories. We present new results in Polyakov chain models and in QCD with heavy quarks and compare various adaptive cooling implementations. | ||
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