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Controlling complex Langevin dynamics at finite density

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Abstract

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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Authors and Affiliations

  1. Department of Physics, College of Science, Swansea University, Swansea, UK

    Gert Aarts & Lorenzo Bongiovanni

  2. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany

    Erhard Seiler

  3. Institut für Theoretische Physik, Universität Heidelberg, Heidelberg, Germany

    Dénes Sexty & Ion-Olimpiu Stamatescu

  4. FEST, Heidelberg, Germany

    Ion-Olimpiu Stamatescu

Authors
  1. Gert Aarts
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  2. Lorenzo Bongiovanni
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  3. Erhard Seiler
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  4. Dénes Sexty
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  5. Ion-Olimpiu Stamatescu
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Corresponding author

Correspondence to Gert Aarts.

Additional information

Communicated by S. Hands

Contribution to the Topical Issue “Lattice Field Theory Methods in Hadron and Nuclear Physics” edited by Simon Hands and Hartmut Wittig.

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Aarts, G., Bongiovanni, L., Seiler, E. et al. Controlling complex Langevin dynamics at finite density. Eur. Phys. J. A 49, 89 (2013). https://doi.org/10.1140/epja/i2013-13089-4

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  • DOI: https://doi.org/10.1140/epja/i2013-13089-4

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