Schwinger-Dyson Equation — Self-Consistent Self-Energy

Dyson equation: G = G₀ + G₀ΣG. Self-consistent iteration of Σ[G] → spectral function broadening and quasiparticle lifetime.

Coupling λ: 0.5

Temperature T: 0.3

Iterations: 10

ε₀ (bare energy): 0.0

Diagrammatic Equation Σ = λ²G²

Spectral Function A(ω)

Self-Energy Σ(ω)