CFT: 2D Ising Correlators & Conformal Blocks
c=1/2 Ising CFT · spin operator Δ=1/8 · energy ε Δ=1 · OPE coefficients
Operator & Parameters
Operator:
σ (spin, Δ=1/8)
ε (energy, Δ=1)
Separation log₁₀(r):
0.0
Central charge c:
0.50
Temperature T/T_c:
1.00
CFT Data
Scaling dim Δ:
0.125
Spin l:
0
⟨O(r)O(0)⟩:
-
OPE coeff C_σσε:
0.5
2-point function:
⟨O(r)O(0)⟩ = 1/r^(2Δ)
4-point conformal block (schematic):
G(z) = z^(−2Δ_σ)F(c,h;z)
Ising CFT (c=1/2): three primary fields — 1 (Δ=0), σ (Δ=1/8), ε (Δ=1).
OPE: σ × σ = 1 + C·ε