QCD Glueball Regge Trajectories and the Pomeron

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 formu...

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Bibliographic Details
Published in:arXiv.org 2000-10
Main Authors: Llanes-Estrada, Felipe J, Cotanch, Stephen R, Pedro J de A Bicudo, J Emilio F T Ribeiro, Szczepaniak, Adam P
Format: Article
Language:English
Subjects:
Confining
Constituents
Eigenvectors
Gluons
Pomerons
Trajectories
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0008212