Semirelativistic potential model for three-gluon glueballs

Abstract

The three-gluon glueball states are studied with the generalization of a semirelativistic potential model giving good results for two-gluon glueballs. The Hamiltonian depends only on 3 parameters fixed on two-gluon glueball spectra: the strong coupling constant, the string tension, and a gluon size which removes singularities in the potential. The Casimir scaling determines the structure of the confinement. Our results are in good agreement with other approaches and lattice calculation for the odderon trajectory but differ strongly from lattice in the J +− sector. We propose a possible explanation for this problem.

Glueball phenomenology and the relativistic flux tube model

“…Here we extend the relativistic flux tube model to glueballs, assuming that these exotic hadrons can be described as bound states of transverse constituent gluons. We point out that using longitudinal constituent gluons leads to spurious states with respect to those observed in lattice QCD, and to a mass spectrum that cannot agree with the lattice data in the C = − sector [10,22].…”

“…Although much effort has been devoted to find a clear experimental glueball signal, no unambiguous candidate is known so far [1]. Nevertheless, glueballs are intensively studied within various theoretical frameworks: lattice QCD [2,3,4], Coulomb gauge QCD [5], AdS/QCD [6], QCD sum rules [7], potential models [8,9,10,11,12], etc. We refer the interested reader to Ref.…”

The Physics of Glueballs

“…al found also a degeneracy between the J +− states in disagreement with the lattice results. [57] Their Hamiltonian involves a Y -junction at the center of mass for the confinement and an OGE potential for the short-range part…”

Gluon screening mass at finite temperature from the Landau gauge gluon propagator in lattice QCD

“…Recently, the penetration length started to be computed with gauge invariant lattice QCD techniques [63][64][65]. If some constituent gluon models assume a vanishing gluon mass [66][67][68][69][70][71][72][73][74][75] at T ∼ 0, others consider a constituent gluon with a finite mass [76][77][78][79][80][81]. For an infrared gluon mass in the range 0.5 to 1.0 GeV, the constituent massive gluon models are also consistent with the large glueball masses as predicted by lattice QCD .…”