Implicit schemes for real-time lattice gauge theory

@article{Ipp2018ImplicitSF,
  title={Implicit schemes for real-time lattice gauge theory},
  author={Andreas Ipp and David I M{\"u}ller},
  journal={The European Physical Journal. C, Particles and Fields},
  year={2018},
  volume={78}
}
  • A. IppD. Müller
  • Published 5 April 2018
  • Physics, Computer Science
  • The European Physical Journal. C, Particles and Fields
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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