Regular Article - Theoretical Physics
Implicit schemes for real-time lattice gauge theory
Institut für Theoretische Physik, Technische Universität Wien, 1040, Vienna, Austria
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Accepted: 10 October 2018
Published online: 31 October 2018
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.
© The Author(s), 2018