Effective Field Theories For Nuclei And Dense Matter
Abstract
Description
A recent development on the working of effective field theories in nuclei and in dense hadronic matter is discussed. We consider two extreme regimes: One, dilute regime for which fluctuations are made on top of the matter-free vacuum; two, dense systems for which fluctuations are treated on top of the "vacuum" defined at a given density, with masses and coupling constants varying as function of matter density ("Brown-Rho scaling"). Based on an intricate -- as yet mostly conjectural -- connection between the in-medium structure of chiral Lagrangian field theory which is a beautiful effective theory of QCD and that of Landau Fermi liquid theory which is an equally beautiful and highly successful effective theory of many-body systems, it is suggested that a chiral Lagrangian with Brown-Rho scaling in the mean field is equivalent to Fermi-liquid fixed point theory. I make this connection using electroweak and strong responses of nuclear matter up to nuclear matter density and then extrapolating to higher densities encountered in heavy-ion collisions and compact stars.
13 pages LaTex, 2 eps figures and appb.sty; Talk given at the International Workshop on "The Structure of Mesons, baryons and Nuclei," Cracow, May 1998, in honor of J. Speth's 60th birthday, to be published in Acta Physica Polonica B
13 pages LaTex, 2 eps figures and appb.sty; Talk given at the International Workshop on "The Structure of Mesons, baryons and Nuclei," Cracow, May 1998, in honor of J. Speth's 60th birthday, to be published in Acta Physica Polonica B