Wilson's 1974 lattice gauge action: gauge fields U_μ(x) ∈ SU(N) live on links of a hypercubic lattice; the action sums over all plaquettes □ (unit squares) of the quantity 1 − (1/N) Re Tr U_□, where U_□ is the ordered product of the four…
Wilson gauge action: S = β Σ_□ [1 − (1/N) Re Tr U_□]
Related concepts
- Wilson loop
- Yang–Mills action
- Nielsen-Ninomiya no-go: naive lattice fermions double into 2^d species
- Hybrid Monte Carlo: molecular dynamics trajectory + Metropolis accept/reject
- Strong-coupling plaquette expansion: ⟨U_□⟩ = β/(2N²) + O(β²) for SU(N)
- Wilson-loop area law ↔ quark confinement: ⟨W_C⟩ ∼ exp(−σ·Area)
- Asymptotic-freedom continuum limit: a(β) = a₀ · exp[−β/(2b₀ N)] for N-colour