Static properties of one-dimensional generalized Landau liquids

Abstract
The forward scattering f functions of the exact one-dimensional Landau theory are evaluated for the case of the Hubbard chain. The static charge and spin susceptibilities of the interacting system at arbitrary magnetic fields are derived as in a Fermi liquid. The connection to conformal field theory is studied in detail. All the critical exponents associated with the asymptotic behavior of the correlation functions are fully determined by the pseudoparticle interactions.