Implicit schemes for real-time lattice gauge theory
High Energy Physics - Lattice
2020-10-08 v1 High Energy Physics - Phenomenology
Nuclear 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 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.
Cite
@article{arxiv.1804.01995,
title = {Implicit schemes for real-time lattice gauge theory},
author = {Andreas Ipp and David Müller},
journal= {arXiv preprint arXiv:1804.01995},
year = {2020}
}
Comments
47 pages, 6 figures