Implicit schemes for real-time lattice gauge theory

2018/04/05 by Andreas Ipp, David Müller · 14 citations
Physics and Astronomy · #Covariant transformation #Gauge (firearms) #Gauge theory #Gauss #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Instability #Lattice (music) #Lattice gauge theory #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1140/epjc/s10052-018-6323-x

published in The European Physical Journal C 78(11), 884 (Springer Science+Business Media) · 47 pages, 6 figures

arxiv created 2018/04/05 · openalex created_date 2018/04/13 · openalex publication_date 2018/10/31 · arxiv updated 2020/10/08 · openalex updated_date 2026/08/06

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.

Citations

• Gluon spectrum in the glasma from JIMWLK evolution
• Production of gluons in the classical field model for heavy ion collisions
• Discrete mechanics and variational integrators

Cited by

• 3-D structure of the Glasma initial state: Breaking boost-invariance by collisions of extended shock waves in classical Yang-Mills theory