2017/09/05 by Jianyuan Xiao, Hong Qin, Xiao, Jianyuan +7 · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Classical Physics (physics.class-ph) #Cold Atom Physics and Bose-Einstein Condensates #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Plasma Physics (physics.plasm-ph)
paper · pdf · doi:10.48550/arxiv.1709.09593
openalex publication_date 2017/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A lattice Maxwell system is developed with gauge-symmetry, symplectic structure and discrete space-time symmetry. Noether's theorem for Lie group symmetries is generalized to discrete symmetries for the lattice Maxwell system. As a result, the lattice Maxwell system is shown to admit a discrete local energy-momentum conservation law corresponding to the discrete space-time symmetry. These conservative properties make the discrete system an effective algorithm for numerically solving the governing differential equations on continuous space-time. Moreover, the lattice model, respecting all conservation laws and geometric structures, is as good as and probably more preferable than the continuous Maxwell model. Under the simulation hypothesis by Bostrom and in consistent with the discussion on lattice QCD by Beane et al., the two interpretations of physics laws on space-time lattice could be essentially the same.