Chiral Extrapolation, Renormalization, and the Viability of the Quark Model

Abstract

The relationship of the quark model to the known chiral properties of QCD is a longstanding problem in the interpretation of low energy QCD. In particular, how can the pion be viewed as both a collective Goldstone boson quasiparticle and as a valence quark antiquark bound state where universal hyperfine interactions govern spin splittings in the same way as in the heavy quark systems. We address this issue in a simplified model which; however, reproduces all features of QCD relevant to this problem. A comparison of the many-body solution to our model and the constituent quark model demonstrates that the quark model is sufficiently flexible to describe meson hyperfine splitting provided proper renormalization conditions and correct degrees of freedom are employed consistently.

6 pages, 2 eps figures, uses revtex. Version to appear in Phys. Rev. Lett

References in corpus (4)

• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• Meson Structure in a Relativistic Many-Body Approach
• Quenched QCD with O(a) improvement: I. The spectrum of light hadrons
• Nonperturbative Renormalization and the QCD Vacuum

Cited by in corpus (30)

• The New Heavy Mesons: A Status Report
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• 50 Years of Quantum Chromodynamics
• The lightest hybrid meson supermultiplet in QCD
• Chiral Behaviour of the Rho Meson in Lattice QCD
• Octet and Decuplet Baryon Magnetic Moments in the Chiral Quark Model
• Analytic proof that the Quark Model complies with the PCAC theorems
• Octet magnetic moments and the Coleman-Glashow sum rule violation in the chiral quark model
• Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange
• Vector Manifestation and Fate of Vector Mesons in Dense Matter
• Radiative Decays of Excited Vector Mesons
• A Coulomb Gauge Model of Mesons
• SU(4) Chiral Quark Model with Configuration Mixing
• Chiral constituent quark model and the coupling strength of eta'
• Constituent gluon interpretation of glueballs and gluelumps
• DbarN interaction in a color-confining chiral quark model
• Chiral quark model and the nucleon spin
• Axial-vector form factors for the low lying octet baryons in the chiral quark constituent model
• The large degeneracy of excited hadrons and quark models
• Unquenching the Quark Model and Screened Potentials
• Quarkonia and Quark Drip Lines in Quark-Gluon Plasma
• Molecular Interpretation of the Supercharmonium State Z(4475)
• Analytical approach to chiral symmetry breaking in Minkowsky space
• SU(4) flavor symmetry breaking in D-meson couplings to light hadrons
• Spontaneous chiral symmetry breaking in the linked cluster expansion
• Chiral Symmetry Breaking with Scalar Confinement
• The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
• $(2+1)$-$d$ Glueball Spectrum within a Constituent Picture
• Heavy Quarkonia and Quark Drip Lines in Quark-Gluon Plasma