Abstract
The possible connection between the chiral symmetry breaking scale in the Nambu and Jona-Lasinio model and gluonic degrees of freedom is studied by introducing the dilatation (gluonium) field. Identifying the divergence of the dilatation current with the QCD trace anomaly, the empirical value of the gluon condensate gives a constituent quark mass of about 400 MeV. We study the glueball-meson effective Lagrangian and discuss scalar modes as a mixture of glueball andqq states.
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Work supported in part by Deutsche Forschungsgemeinschaft, grant We 655/9-3, and by BMFT grant 06 OR 762
We would like to thank H. Yabu and M. Takizawa for helpful discussions.