The Dilated Chiral Quark Model

Abstract

It is argued that constituent quarks live in an effective theory that possesses an approximate conformal invariance. An effective lagrangian is constructed which in the large-$\nc$ approximation incorporates Regge asymptotic constraints. The resulting picture explains why linear-sigma models provide successful constituent quark descriptions, both at zero and finite temperature. Our analysis suggests an interesting relation between non-linearly realized conformal invariance and the completion of chiral multiplets in the broken symmetry phase.

8 pages, uses TeXsis or mTeXsis.tex,CPP-94-2,DOE/ER/40427-01-N94

References in corpus (3)

• Baryon-Pion Couplings from Large-N QCD
• Constituent Quark Couplings and QCD in the Large $N_c$ Limit
• $N_c$-counting rules and the axial vector coupling constant of the constituent quark

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• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model
• Conformal anomaly and the vector coupling in dense matter
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Chiral-scale effective theory including a dilatonic meson
• Sliding Vacua in Dense Skyrmion Matter
• Scalar-isoscalar states in the large-Nc Regge approach
• A pseudo-conformal structure in dense baryonic matter
• Dilatons in Hidden Local Symmetry for Hadrons in Dense Matter
• Modelling the QCD Phase Transition with an Effective Lagrangian of Light and Massive Hadrons
• Scaling Of Chiral Lagrangians And Landau Fermi Liquid Theory For Dense Hadronic Matter
• Weinberg's Compositeness
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Nuclear Effective Field Theories: Reverberations of the early days
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars
• Chiral Symmetry Restoration and the Georgi Vector Limit
• The Skyrmion Model and the Dynamical Breakdown of Chiral Symmetry
• Scale symmetry and composition of compact star matter
• Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars
• Multifarious roles of hidden chiral-scale symmetry:"Quenching" $g_A$ in nuclei
• Dense Stellar Matter with Strange Quark Matter Driven by Kaon Condensation
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Baryon Density and the Dilated Chiral Quark Model
• Effective Field Theories, Landau-Migdal Fermi-Liquid Theory and Effective Chiral Lagrangians for Nuclear Matter
• Neutral pion decay in dense skyrmion matter
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter