Cavity QCD in a background field and hadrons containing a heavy quark

The hadrons containing one heavy quark were modelled. The heavy quark defines the centre of a spherical, static cavity, and is the source of a classical Coulomb field, within which the light hadronic constituents move. In order to describe the interactions of the quantum fields, in particular the gluons, with the background field, cavity QCD in the presence of a classical background gluon field was formulated. Canonical quantisation relations are imposed on all the fields other than the background field. Boundary conditions are imposed on the fields in such a way that the conserved quantities of infinite space QCD are preserved. The quantum field operators are expanded as a sum of cavity modes which see a Coulomb potential. The interactions of the quantum fields are treated perturbatively. A great enhancement of the fine and hyperfine interactions of the light constituents due to one gluon exchange, relative to their sizes as calculated using cavity modes unaffected by a background field, was found. The masses of the mesons and baryons calculated in the framework of the MIT bag model are presented, and the effect of the parameters on the resulting spectra is discussed. 102 refs., 13 figs., 10 tabs