# 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} }

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.

## 8 Citations

### Heavy quark diffusion in an overoccupied gluon plasma

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Abstract
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An improved scheme cures the numerical Cherenkov instability and paves the way for simulations at higher energies used at LHC.

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In heavy ion collisions, transverse momentum broadening quantifies the modification of a hard probe due to interactions with the quark-gluon plasma (QGP). We calculate momentum broadening in the…

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### Lattice gauge equivariant convolutional neural networks

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It is demonstrated that L-CNNs can learn and generalize gauge invariant quantities that traditional convolutional neural networks are incapable of finding.

### Broad excitations in a 2+1D overoccupied gluon plasma

- Physics
- 2021

K. Boguslavski, A. Kurkela, T. Lappi, 4 and J. Peuron 6 Institute for Theoretical Physics, Technische Universität Wien, 1040 Vienna, Austria Faculty of Science and Technology, University of…

### Spacetime structure of (3+1)D color fields in high energy nuclear collisions

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We perform an analytic calculation of the color ﬁelds in heavy-ion collisions by considering the collision of longitudinally extended nuclei in the dilute limit of the Color Glass Condensate eﬀective…

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