Auxiliary field method at finite temperature and/or finite density
  We discuss the relation between the effective vector meson mass and equation of state (EOS) for nuclear matter. In the mean field approximation, the EOS becomes softer due to the reduction of the effective omega-meson mass, if we assume that the omega-meson mean field is proportional to the baryon density. We examine the assumption by using the auxiliary field method at finite temperature and /or density. 
Hiroaki Kouno