Implicit schemes for real-time lattice gauge theory
Abstract 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 propagati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6323-x |
| _version_ | 1828400201910452224 |
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| author | Andreas Ipp David Müller |
| author_facet | Andreas Ipp David Müller |
| author_sort | Andreas Ipp |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-10T09:28:43Z |
| format | Article |
| id | doaj.art-617111e6543e422089aa87f53f0d3695 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T09:28:43Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-617111e6543e422089aa87f53f0d36952022-12-22T01:54:26ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-10-01781112610.1140/epjc/s10052-018-6323-xImplicit schemes for real-time lattice gauge theoryAndreas Ipp0David Müller1Institut für Theoretische Physik, Technische Universität WienInstitut für Theoretische Physik, Technische Universität WienAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-018-6323-x |
| spellingShingle | Andreas Ipp David Müller Implicit schemes for real-time lattice gauge theory European Physical Journal C: Particles and Fields |
| 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 |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6323-x |
| work_keys_str_mv | AT andreasipp implicitschemesforrealtimelatticegaugetheory AT davidmuller implicitschemesforrealtimelatticegaugetheory |