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QCD Glueball Regge Trajectories and the Pomeron | Felipe J. Llanes-Estrada
; Stephen R. Cotanch
; Pedro J. de A. Bicudo
; J. Emilio F. T. Ribeiro
; Adam P. Szczepaniak
; | Date: |
19 Aug 2000 | Journal: | Nucl.Phys. A710 (2002) 45-54 | Subject: | hep-ph | Abstract: | 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. | Source: | arXiv, hep-ph/0008212 | Services: | Forum | Review | PDF | Favorites |
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