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 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.

47 pages, 6 figures

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• Space-time structure of 3+1D color fields in high energy nuclear collisions
• Progress on 3+1D Glasma simulations
• Broad excitations in a 2+1D overoccupied gluon plasma
• Heavy flavor angular correlations as a direct probe of the glasma
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Energy-momentum tensor of the dilute (3+1)D Glasma
• A new variational discretization technique for initial value problems bypassing governing equations