QCD Glueball Regge Trajectories and the Pomeron

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 ${\alpha }_P(t)=1.08+0.25t$. Finally, we also ascertain that lattice data supports our result, yielding an average intercept of 1.1 in good agreement with the Pomeron.

10 pages, 4 ps figures

References in corpus (13)

• Glueball masses and Pomeron trajectory in nonperturbative QCD
• Meson Structure in a Relativistic Many-Body Approach
• High-Energy Forward Scattering and the Pomeron: Simple Pole versus Unitarized Models
• Relativistic Many-Body Hamiltonian Approach to Mesons
• Observing the Odderon: Tensor Meson Photoproduction
• Many-Body Coulomb Gauge Exotic and Charmed Hybrids
• Resonance production in central pp collisions at the CERN Omega Spectrometer
• Evidence that the Pomeron transforms as a non-conserved vector current
• A study of the f0(1370), f0(1500), f0(2000) and f2(1950) observed in the centrally produced 4pi final states
• Experimental evidence for a vector-like behaviour of Pomeron exchange
• Flow Equations for Gluodynamics in the Coulomb Gauge
• Pomeron and Reggeized Glueball/Sigma
• High-t Diffraction at HERA

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