Thermodynamic properties of effective chiral Lagrangians with Brown-Rho scaling

We show that effective chiral Lagrangians endowed with Brown-Rho scaling can be mapped to Landau Fermi-liquid fixed point theory in a way consistent with general constraints following from thermodynamics. This provides a unified scheme to treat, starting from normal nuclear matter, hadronic matter under extreme conditions that is encountered in relativistic heavy-ion collisions and in the interior of compact stars.