(B13) Integration by parts yields again the identity ⟨∇χaℓJ ,∇χ aℓ′ J′ ⟩=−G aℓJ ,aℓ′ J′ .(B14)

The divergence noise⟨∇χ aℓJ ,ξ⟩ With ξi(r, t)ξj(r′, t′) =δ ijδ(t−t ′)δ(r−r ′), ⟨∇χaℓJ ,ξ⟩(t)⟨∇χ aℓ′J′ ,ξ⟩(t ′) =⟨∇χ aℓJ ,∇χ aℓ′ J′ ⟩δ(t−t ′)