  We study the Coulomb interactions in fullerene molecules within a continuum
formalism. The model gives rise to a renormalizable field theory, which has
many similarities to standard quantum electrodynamics. The effective electric
charge at low energies is reduced by screening processes. The associated
renormalization of the one electron Green's function leads to the vanishing of
the quasiparticle pole. It implies the dissappearance of coherent one particle
excitations, in close analogy to the one dimensional Luttinger liquid. The
relevance of these results for C$_{60}$ and related molecules is discussed.
