Z₂ Lattice Gauge Theory
Click links to flip • Watch Wilson loops • Deconfinement phase transition
Lattice
(click a link to flip it)
MC Sweep
Auto-run
Reset (+1)
Disorder
Links = +1 (dim) or -1 (bright) • Plaquettes: green = +1 (ordered), red = -1 (excitation)
Parameters
β (inverse T)
1.0
β<1: disordered (deconfined) • β>1: ordered (confined)
Phase transition at β_c ≈ 0.44 (self-dual point)
—
⟨W(1×1)⟩
—
⟨W(2×2)⟩
—
⟨E⟩/link
0
MC sweeps
Wilson Loop Size
1×1 plaquette
2×2 loop
3×3 loop
Highlighted loop on lattice • Area law = confined • Perimeter law = deconfined
Energy History
β Scan
Scan β ∈ [0.1,2.5]
⟨W⟩ vs β — watch the phase transition