QCD Glueball Regge Trajectories and the Pomeron

Details QCD Glueball Regge Trajectories and the Pomeron QCD Glueball Regge Trajectories and the Pomeron

2000-08-19

arxiv.org/abs/hep-ph/0008212v2

Nucl.Phys. A710 (2002) 45-54

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 4 ps figures

Scientific paper

10.1016/S0375-9474(02)01090-4

We report a glueball Regge trajectory emerging from diagonalizing a confining Coulomb gauge Hamiltonian for constituent gluons. Using a BCS vacuum ansatz and gap equation, the dressed gluons acquire a mass, of order 800 $MeV$, 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 400 $MeV$ revealing a clear Regge trajectory for $\vec{J} = \vec{L} + \vec{S}$, where $S$ is the total (sum) gluon spin. Significantly, the $S = 2$ glueball spectrum coincides with the Pomeron given by $\alpha_P(t)=1.08+0.25 t $. Finally, we also ascertain that lattice data supports our result, yielding an average intercept of 1.1 in good agreement with the Pomeron.

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