Confinement and the Supercritical Pomeron in Qcd

Deep-inelastic diffractive scaling violations have provided fundamental insight into the QCD pomeron, suggesting a single gluon inner structure rather than that of a perturbative two-gluon bound state. This paper derives a highenergy, transverse momentum cut-off, confining solution of QCD. The pomeron, in first approximation, is a single reggeized gluon plus a “wee parton” component that compensates for the color and particle properties of the gluon. This solution corresponds to a supercritical phase of Reggeon Field Theory. Beginning with the multi-regge behavior of massive quark and gluon amplitudes, reggeon unitarity is used to derive a reggeon diagram description of a wide class of multi-regge amplitudes, including those describing the formation and scattering of bound-state Regge poles. When quark and gluon masses are taken to zero, a logarithmic divergence is produced by helicity-flip reggeon interactions containing the infra-red quark triangle anomaly. With the gauge symmetry partially broken, this divergence selects the bound states and amplitudes of a confining theory. Both the pomeron and hadrons have an anomalous color parity wee-parton component. For the pomeron the wee parton component determines that it carries negative color charge parity and that the leading singularity is an isolated Regge pole. Work supported by the U.S. Department of Energy, Division of High Energy Physics, Contracts W-31-109-ENG-38 and DEFG05-86-ER-40272 †[email protected]