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We consider the quantum corrections to the conductivity of fermionsinteracting via a Chern-Simons gauge field, and concentrate on the Hartree-typecontributions. The first-order Hartree approximation is only valid in the limitof weak coupling \lambda to the gauge field, and results in an antilocalizingconductivity correction, \sim \lambda^2 g \ln^2 T (g is the conductance). Inthe case of strong coupling, an infinite summation of higher-order terms isnecessary, including both the virtual (renormalization) and real (dephasing)processes. At intermediate temperatures 1/g^2\tau<<T<<1/g\tau (\tau is thetransport time), the T-dependence of the conductivity is determined by theHartree correction. At low temperatures T<<1/g^2\tau, the Hartree correctionassumes a logarithmic form with a coefficient of order unity. As a result, thenegative exchange contribution becomes dominant, yielding localization in thelimit of zero T. We further discuss dephasing at strong coupling and show thatthe dephasing rates are of the order of T, owing to the interplay of inelasticscattering and renormalization. On the other hand, the dephasing length isanomalously short, L_\phi<<L_T. For the case of composite fermions withlong-range Coulomb interaction, the Hartree correction has the usualT-dependence, and for realistic g is overcompensated by the negative exchangecontribution due to the gauge-boson and scalar parts of the interaction. Inthis case, the dephasing length L_\phi is of the order of L_T for not too low Tand exceeds L_T for T<1/g\tau.

Effect of gauge-field interaction on fermion transport in 2D: Hartree conductivity correction and dephasing