Determination of Scalar Meson Masses in QCDinspired Quark Models
Abstract
We compare two QCDinspired quark models with fourfermion interaction, without and with the remnant coupling to lowenergy gluons, in the regime of dynamical chiral symmetry breaking (DCSB). The first one, the NambuJonaLasinio (NJL) model ensures the factorization of scalar and pseudoscalar meson poles in correlators, the wellknown Nambu relation between the scalar meson mass and the dynamical quark mass, $m_{\sigma} = 2 m_{dyn}$, and the residual chiral symmetry in coupling constants characteristic for the linear $\sigma$model. The second one, the Gauged NJL model, happens to be qualitatively different from the NJL model, namely, the Nambu relation is not valid and the factorization of light meson poles does not entail the residual chiral symmetry, i.e. it does not result in a linear $\sigma$model. The more complicated DCSB pattern in the GNJL model is fully explained in terms of excited meson states with the same quantum numbers. The asymptotic restrictions on parameters of scalar and pseudoscalar meson states are derived from the requirement of chiral symmetry restoration at high energies.
 Publication:

arXiv eprints
 Pub Date:
 May 1997
 DOI:
 10.48550/arXiv.hepph/9705364
 arXiv:
 arXiv:hepph/9705364
 Bibcode:
 1997hep.ph....5364A
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 13 pages, LaTeX