Defect--Defect Correlation Functions, Generic Scale Invariance, and the Complex Ginzburg--Landau Equation

We present a calculation of defect–defect correlation functions in the defect turbulence regime of the complex Ginzburg–Landau equation. Our results do not agree with the predictions of generic scale invariance. Using the topological nature of the defects, we prove that defect–defect correlations cannot decay as slowly as predicted by generic scale invariance