Implicit schemes for real-time lattice gauge theory

We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of heavy-ion collisions by allowing for wave propagation along...

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Detalles Bibliográficos
Autores principales: Ipp, Andreas, Müller, David
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6315017/
https://www.ncbi.nlm.nih.gov/pubmed/30636925
http://dx.doi.org/10.1140/epjc/s10052-018-6323-x
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author Ipp, Andreas
Müller, David
author_facet Ipp, Andreas
Müller, David
author_sort Ipp, Andreas
collection PubMed
description We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of heavy-ion collisions by allowing for wave propagation along one lattice direction free of numerical dispersion. We show that the scheme is gauge covariant and that the Gauss constraint is conserved even for large time steps.
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spelling pubmed-63150172019-01-11 Implicit schemes for real-time lattice gauge theory Ipp, Andreas Müller, David Eur Phys J C Part Fields Regular Article - Theoretical Physics We develop new gauge-covariant implicit numerical schemes for classical real-time lattice gauge theory. A new semi-implicit scheme is used to cure a numerical instability encountered in three-dimensional classical Yang-Mills simulations of heavy-ion collisions by allowing for wave propagation along one lattice direction free of numerical dispersion. We show that the scheme is gauge covariant and that the Gauss constraint is conserved even for large time steps. Springer Berlin Heidelberg 2018-10-31 2018 /pmc/articles/PMC6315017/ /pubmed/30636925 http://dx.doi.org/10.1140/epjc/s10052-018-6323-x Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Funded by SCOAP3
spellingShingle Regular Article - Theoretical Physics
Ipp, Andreas
Müller, David
Implicit schemes for real-time lattice gauge theory
title Implicit schemes for real-time lattice gauge theory
title_full Implicit schemes for real-time lattice gauge theory
title_fullStr Implicit schemes for real-time lattice gauge theory
title_full_unstemmed Implicit schemes for real-time lattice gauge theory
title_short Implicit schemes for real-time lattice gauge theory
title_sort implicit schemes for real-time lattice gauge theory
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6315017/
https://www.ncbi.nlm.nih.gov/pubmed/30636925
http://dx.doi.org/10.1140/epjc/s10052-018-6323-x
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