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FIZIKA B 13 (2004) 1, 27 - 36
 
COULOMB GAUGE HAMILTONIAN: ADVANCES AND APPLICATIONS
STEPHEN R. COTANCH
Department of Physics, North Carolina State University, Raleigh, NC
27695-8202, USA
E-mail address: [email protected]
Received 19 August 2003; Accepted
26 April 2004
Online 16 July 2004
Theoretical developments and applications of an effective QCD Hamiltonian in the
Coulomb gauge are summarized. BCS, TDA and RPA many-body diagonalizations in the quark and
gluon sectors are reported for meson and glueball spectra, respectively. The model
glueball Regge trajectories are in good agreement with the established pomeron and a
recently observed odd signature daughter. Using the pomeron-glueball connection and vector
meson dominance, glueball photoproduction cross sections and decays are calculated and a
glueball experimental signature is predicted. The pseudoscalar-vector meson mass
splittings are also investigated using a hyperfine interaction based upon transverse gluon
exchange. An improved meson spectrum is obtained and the dominant role of chiral symmetry
in the p-r mass difference is
confirmed.
PACS numbers: 11.30.Rd, 12.38.Lg, 12.39.Mk, 12.40.Vv, 12.40.Yx
UDC539.12.1
Keywords: QCD, Coulomb gauge Hamiltonian, hyperfine interaction, chiral symmetry,
glueballs, pomeron
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