$\mathbb{Z}_n$-Lattice Gauge Theory

Explore the vortices and monopoles of $\mathbb{Z}_n$ lattice configurations.

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  • Flux magnitude 1
  • Magnitude 2
  • Magnitude 3
  • Positive monopole
  • Negative monopole

Choose between three saved Z₇ configurations: β = 0.1, 1.2, or 2.5, all with λ = 0. The β = 1.2 and β = 2.5 recordings have 10 × 10 × 10 × 10 lattices; β = 0.1 has a 6 × 6 × 6 × 6 lattice. Each configuration includes every recorded time slice. Arrows indicate flux direction; periodic copies show the same cell repeated around its boundaries. This viewer uses a saved recording, rather than running a live simulation.