On the scaling limit of the 1D Hubbard model at half-filling Original Research Article

The dispersion relations and S-matrix of the one-dimensional Hubbard model at half-filling are onsidered in a certain scaling limit. (In the process we derive a useful small-coupling expansion of the exact lattice dispersion relations.) The resulting scattering theory is consistently identified as that of the SU(2) chiral-invariant Thirring (or Gross-Neveu) field theory, containing both massive and massless sectors.