Fermi-liquid properties of nuclear matter in a Dirac-Hartree-Fock approximation

Fermi-liquid properties of nuclear matter described by a relativistic quantum field theory are examined in terms of Landau's Fermi-liquid theory. A relativistic Dirac-Hartree-Fock (DHF) approximation is examined from the point of view of the Hugenholtz-Van Hove (HV) theorem as a check for internal consistency. The retardation which enters through exchange contributions prevents the HV theorem from being satisfied; therefore, the Dirac-Hartree-Fock approximation would have to be modified in order to maintain the HV theorem. The static limit of the DHF approximation obeys the HV theorem exactly, and this approximation is applied to Landau's Fermi-liquid theory. The Landau parameters are derived microscopically from the ground-state energy in the static DHF approximation and are used to describe the thermodynamic properties of the system, such as compressibility, symmetry energy and first sound velocity. (orig.)