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

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

2000-06-27

arxiv.org/abs/hep-ph/0006306v2

Phys.Rev.Lett. 87 (2001) 072001

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevLett.87.072001

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.

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