Asymptotic-freedom continuum limit: a(β) = a₀ · exp[−β/(2b₀ N)] for N-colour

Layer 1 — Physicsin the lattice-field-theory subtree

Renormalisation-group relation between lattice spacing a and bare coupling β = 2N/g₀² in asymptotically free Yang-Mills. At two-loop order: a(β) = (1/Λ_lat) · (1/(2b₀g₀²))^{−b₁/(2b₀²)} · exp(−1/(2b₀ g₀²)), with universal coefficients b₀ =…

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