Status of Complex Langevin

I review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible. I discuss the mathematical justification of the procedure, as well as its limitations and open questions. Various pragmatic measures for dealing with the existing proble...

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Main Author: Seiler Erhard
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817501019
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author Seiler Erhard
author_facet Seiler Erhard
author_sort Seiler Erhard
collection DOAJ
description I review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible. I discuss the mathematical justification of the procedure, as well as its limitations and open questions. Various pragmatic measures for dealing with the existing problems are described. Finally I report on the progress in the application of the method to QCD, with the goal of determining the phase diagram of QCD as a function of temperature and baryonic chemical potential.
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spelling doaj.art-9582472cd2144f97a5d4e2bbd3d693f22022-12-21T18:28:40ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750101910.1051/epjconf/201817501019epjconf_lattice2018_01019Status of Complex LangevinSeiler ErhardI review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible. I discuss the mathematical justification of the procedure, as well as its limitations and open questions. Various pragmatic measures for dealing with the existing problems are described. Finally I report on the progress in the application of the method to QCD, with the goal of determining the phase diagram of QCD as a function of temperature and baryonic chemical potential.https://doi.org/10.1051/epjconf/201817501019
spellingShingle Seiler Erhard
Status of Complex Langevin
EPJ Web of Conferences
title Status of Complex Langevin
title_full Status of Complex Langevin
title_fullStr Status of Complex Langevin
title_full_unstemmed Status of Complex Langevin
title_short Status of Complex Langevin
title_sort status of complex langevin
url https://doi.org/10.1051/epjconf/201817501019
work_keys_str_mv AT seilererhard statusofcomplexlangevin