The frequency-dependent conductivity is studied for the one-dimensional Hub
bard model, using a selection rule, the Bethe ansatz, and symmetries associ
ated with conservation laws. For densities where the system is metallic the
absorption spectrum has two contributions, a Drude peak at omega = 0 separ
ated by a pseudogap from a broad absorption band whose lower edge is charac
terized by a nonclassical critical exponent. Our findings shed new light on
the "far infrared puzzle" and other optical properties of metallic organic
chain compounds.