QCD glueball Regge trajectory and the pomeron

Abstract

Implementing many-body techniques successful in other fields, we report a glueball Regge trajectory emerging from diagonalizing a confining Coulomb gauge Hamiltonian for constituent gluons. Through a BCS vacuum ansatz and gap equation, the dressed gluons acquire a dynamic mass, of order 0.8 GeV, providing the quasiparticle degrees of freedom for a TDA glueball formulation. The TDA eigenstates for two constituent gluons have orbital, L, excitations with a characteristic energy of 0.4 GeV revealing a clear Regge trajectory. In particular, the J(PC) = 2(++) glueball coincides with the pomeron given by alpha(P)(t) = 1.08 (0.25 GeV-2)t. We also ascertain that lattice data supports our result. Finally, we conjecture on the odderon puzzle.