From Chiral Lagrangians to Landau Fermi Liquid Theory of Nuclear Matter

Abstract

A simple relation between the effective parameters of chiral Lagrangians in medium as predicted by BR scaling and Landau Fermi liquid parameters is derived. This provides a link between an effective theory of QCD at mean-field level and many-body theory of nuclear matter. It connects in particular the scaling vector-meson mass probed by dileptons produced in heavy-ion collisions (e.g., CERES of CERN-SPS) to the scaling nucleon-mass relevant for low-energy spectroscopic properties, e.g., the nuclear gyromagnetic ratios $\delta g_l$ and the effective axial-vector constant $g_A^{\star }$.

17 pages, 6 Postscript figures, uses article.sty, epsfig.sty

References in corpus (12)

• Enhancement of low-mass dileptons in heavy-ion collisions
• Chiral Restoration in Hot and/or Dense Matter
• Numerical Evidence for the Observation of a Scalar Glueball
• Medium Modifications of the Rho Meson at CERN/SPS Energies
• QCD Sum Rules and Applications to Nuclear Physics
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Vacuum Contributions in a Chiral Effective Lagrangian for Nuclei
• Vector Mesons in Nuclear Medium -- an Effective Lagrangian Approach --
• From Chiral Mean Field to Walecka Mean Field and Kaon Condensation
• Valid QCD Sum Rules for Vector Mesons in Nuclear Matter
• Chiral Effective Lagrangian Description of Bulk Nuclear Matter
• New QCD Sum Rules for Nucleons in Nuclear Matter

Cited by in corpus (42)

• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Properties of Hadrons in the Nuclear Medium
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Fluctuations In ``BR-Scaled'' Chiral Lagrangians
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Holographic QCD in medium: a bottom up approach
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• Late Hadronization and Matter Formed at RHIC: Vector Manifestation, Brown-Rho Scaling and Hadronic Freedom
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Compton Scattering by Nuclei
• Nuclear Saturation with in-Medium Meson Exchange Interactions
• The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter
• A pseudo-conformal structure in dense baryonic matter
• Scaling Of Chiral Lagrangians And Landau Fermi Liquid Theory For Dense Hadronic Matter
• In-Medium Effective Axial-Vector Coupling Constant
• Thermodynamic Properties of Effective Chiral Lagrangians with BR Scaling
• Topology and emergent symmetries in dense compact star matter
• A Schematic Model for $\rho$-$a_1$ Mixing at Finite Density and In-Medium Effective Lagrangian
• Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars
• Density Dependent Parametrization Models: Formalism and Applications
• Tensor Fermi liquid parameters in nuclear matter from chiral effective field theory
• The Two-Pion Exchange NN-Potential in Nuclear Matter and Nuclear Stability
• Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• In Search of a Pristine Signal for (Scale-)Chiral Symmetry in Nuclei
• Chiral Symmetry in Nuclear Physics
• Nuclear Axial Currents from Scale-Chiral Effective Field Theory
• A New Topological "Twist" to BR Scaling
• Chiral Symmetry In Nuclear Physics
• What's in the core of massive neutron stars?
• Effective Field Theories, Landau-Migdal Fermi-Liquid Theory and Effective Chiral Lagrangians for Nuclear Matter
• Proton Mass, Topology Change and Tensor Forces in Compressed Baryonic Matter
• Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter
• Pionic contribution to relativistic Fermi Liquid parameters
• The collective excitation of nuclear matter in a bosonized Landau Fermi liquid model
• Partial restoration of chiral symmetry in hot and dense neutron matter
• A Solution to the Quenched $g_A$ Problem in Nuclei and Dense Baryonic Matter
• Pinning Down the Axial-Vector Coupling Constant in Nuclei and Dense Matter
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter
• QCD Vacuum Changes in Nuclei
• Why {\em Explicit} Strangeness Is Not Relevant In Compact Stars