  The scaling limit of the higher level Bethe Ansatz (HLBA) equations for a
macroscopically half-filled Hubbard chain is considered. These equations
practically decouple into three disjoint sets which are again of the BA type,
and correspond to the secular equations of three different kinds of dressed
particles (one massive and two massless). The finite size corrections and the
fine structure of the spectrum show that the massless sector corresponds to a
conformal field with central charge c=1 and Gaussian anomalous dimensions. The
zero temperature free energy is also calculated and is found to be in perfect
agreement with the results of a perturbative calculation in the SU(2) chiral
Gross-Neveu (CGN) model.
