We exploited angle-resolved photoelectron spectroscopy (ARPES) with hi
gh energy resolution to map the band structure of the typical one-dime
nsional organic conductor TTF-TCNQ. We directly observe dispersing spe
ctral features corresponding to the donor (TTF) and acceptor (TCNQ) ba
nds, and their crossing at the Fermi wavevector k(F). Near the chemica
l potential, however, the quasiparticle peak are completely renormaliz
ed away, and the spectrum is totally incoherent. The suggest that we h
ave observed the dispersion and spectral function of a metallic non-Fe
rmi liquid.