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Controlling complex Langevin dynamics at finite density

Gert Aarts Orcid Logo, Lorenzo Bongiovanni, Erhard Seiler, Dénes Sexty, Ion-Olimpiu Stamatescu

The European Physical Journal A, Volume: "A49", Issue: 7, Start page: 89

Swansea University Author: Gert Aarts Orcid Logo

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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 understandin...

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Published in: The European Physical Journal A
ISSN: 1434-6001 1434-601X
Published: 2013
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa22580
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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(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.
Item Description: @articleAarts:2013uxa, author = "Aarts, Gert and Bongiovanni, Lorenzo and Seiler, Erhard and Sexty, Denes and Stamatescu, Ion-Olimpiu", title = "Controlling complex Langevin dynamics at finite density", journal = "Eur.Phys.J.", volume = "A49", pages = "89", doi = "10.1140/epja/i2013-13089-4", year = "2013", eprint = "1303.6425", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1303.6425;%%",
College: Faculty of Science and Engineering
Issue: 7
Start Page: 89