FLUCTUATIONS IN BROWN-RHO SCALED CHIRAL LAGRANGIANS

We develop arguments for ''mapping'' the effective chiral Lagrangian w hose parameters are given by ''Brown-Rho'' (BR) scaling to a Landau Fe rmi-liquid fixed-point theory for nuclear matter in describing fluctua tions in various flavor (e.g., strangeness) directions. We use for thi s purpose the effective Lagrangian used by Furnstahl, Tang, and Serot that incorporates the trace anomaly of QCD in terms of a light-quark ( quarkonium) degree of freedom with the heavy (gluonium) degree of free dom integrated out. The large anomalous dimension d(an)approximate to 5/3 for the scalar field found by Furnstahl er al. to be needed for a correct description of nuclear matter is interpreted as an indication for a strong-coupling regime and the ground state given by the BR-scal ed parameters is suggested as the background around which fluctuations can be rendered weak so that mean-field approximation is reliable. We construct a simple model with BR-scaled parameters that provides a sa tisfactory description of the properties of matter at normal nuclear m atter density. Given this, fluctuations around the BR-scaled backgroun d are dominated by tree diagrams. Our reasoning relies heavily on rece nt developments in the study of nucleon and kaon properties in normal and dense nuclear matter, e.g., nucleon and kaon flows in heavy-ion pr ocesses, kaonic atoms, and kaon condensation in dense compact-star mat ter.