Controlling complex Langevin dynamics at finite density

Denes Sexty; Erhard Seiler; Gert Aarts; Ion-Olimpiu Stamatescu; Lorenzo Bongiovanni

Controlling complex Langevin dynamics at finite density

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arxiv 1303.6425 v2 pith:65H3XGKZ submitted 2013-03-26 hep-lat hep-thnucl-th

Gert Aarts , Lorenzo Bongiovanni , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu This is my paper · ORCID

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keywords complexdynamicslangevincoolinggaugenumericaladaptivealgorithms

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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(N,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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Lefschetz thimble-inspired weight regularizations for complex Langevin simulations
hep-lat 2024-12 conditional novelty 7.0 of 10

A single compact Lefschetz thimble restores correct complex Langevin convergence, and a Dyson-Schwinger bias correction recovers the original expectation values.

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