English

QCD Glueball Regge Trajectories and the Pomeron

High Energy Physics - Phenomenology 2009-10-31 v2

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 MeVMeV, providing the quasiparticle degrees of freedom for a TDA glueball formulation. The TDA eigenstates for two constituent gluons have orbital, LL, excitations with a characteristic energy of 400 MeVMeV revealing a clear Regge trajectory for J=L+S\vec{J} = \vec{L} + \vec{S}, where SS is the total (sum) gluon spin. Significantly, the S=2S = 2 glueball spectrum coincides with the Pomeron given by αP(t)=1.08+0.25t\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.

Keywords

Cite

@article{arxiv.hep-ph/0008212,
  title  = {QCD Glueball Regge Trajectories and the Pomeron},
  author = {Felipe J. Llanes-Estrada and Stephen R. Cotanch and Pedro J. de A. Bicudo and J. Emilio F. T. Ribeiro and Adam P. Szczepaniak},
  journal= {arXiv preprint arXiv:hep-ph/0008212},
  year   = {2009}
}

Comments

10 pages, 4 ps figures