Conductivity close to antiferromagnetic criticality.

We study the conductivity of a three-dimensional disordered metal close to antiferromagnetic instability within the framework of the spin-fermion model using the diagrammatic technique. We calculate the interaction correction δσ(ω,T) to the conductivity, assuming that the latter is dominated by the disorder scattering, and the interaction is weak. Although the fermionic scattering rate shows critical behavior on the entire Fermi surface, the interaction correction is dominated by the processes near the hot spots, narrow regions of the Fermi surface corresponding to the strongest spin-fermion scattering. Exactly at the critical point δσ is proportional to [max(ω,T)](3/2). At sufficiently large frequencies ω the conductivity is independent of the temperature, and δσ is proportional to (τ(-1)-iω)(-2), τ being the elastic scattering time. In a certain intermediate frequency range δσ(ω) is proportional to iω(τ(-1)-iω)(-2).