Logarithmic Temperature Dependence of Conductivity at Half Filled Landau Level

We study temperature dependence of diagonal conductivity at half filled Landau level by means of the theory of composite fermions in the weakly disordered regime $(k_{F}l>>1)$. At low temperatures we find the leading $\log T$ correction resulting from interference between impurity scattering and gauge interactions of composite fermions. The prefactor appears to be strongly enhanced as compared to the standard Altshuler-Aronov term in agreement with recent experimental observations.