QCD Glueball Regge Trajectories and the Pomeron (original) (raw)
QCD glueball Regge trajectory and the pomeron
Nuclear Physics A, 2002
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 M eV , 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 M eV revealing a clear Regge trajectory for J = L + S, where S is the total (sum) gluon spin. Significantly, the S = 2 glueball spectrum coincides with the Pomeron given by α 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.
Glueball Regge trajectories from gauge-string duality and the pomeron
Physical Review D - Particles, Fields, Gravitation and Cosmology, 2006
The spectrum of light baryons and mesons has been reproduced recently by Brodsky and Teramond from a holographic dual to QCD inspired in the AdS/CFT correspondence. They associate fluctuations about the AdS geometry with four dimensional angular momenta of the dual QCD states. We use a similar approach to estimate masses of glueball states with different spins and their excitations. We consider Dirichlet and Neumann boundary conditions and find approximate linear Regge trajectories for these glueballs. In particular the Neumann case is consistent with the Pomeron trajectory.
Glueball masses and Regge trajectories for the QCD-inspired potential
The bound state of two massive constituent glu-ons is studied in the potential approach. The relativistic quasi-classical wave equation with the QCD-inspired scalar potential is solved by the quasi-classical method in the complex plane. Glueball masses are calculated with the help of the universal mass formula. The hadron Regge trajectories are given by the complex non-linear function in the whole region of the invariant variable t. The Chew–Frautschi plot of the leading glueball trajectory, α P (t), has the properties of a t-channel Pomeron, which is dual to the glueball states in the s channel. The imaginary part of the Pomeron is also calculated.
The glueball spectrum from constituent gluon models
We present a model for odd-C (negative charge parity) glueballs with three constituent gluons. The model is an extension of a previous study of two-gluon glueballs. We show that, even if spin-1 gluons seem to reproduce properly the lattice QCD spectrum for C = + states, the extension for C = − cannot match with the lattice results. Resorting to the helicity formalism, we show how transverse gluons fit in better agreement the lattice QCD spectrum. We then conclude that even if gluons gain an effective mass, they remain transverse particles.
Glueball-glueball scattering in a constituent gluon model
AIP Conference Proceedings, 2004
In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock-Tani formalism. In the present work we consider two possibilities for 0 ++ : (i) as a pure ss and calculate, in the context of a quark interchange picture, the crosssection; (ii) as a glueball where a new calculation for this cross-section is made, in the context of the constituent gluon model, with gluon interchange.
Constituent gluon interpretation of glueballs and gluelumps
The European Physical Journal A, 2008
Arguments are given that support the interpretation of the lattice QCD glueball and gluelump spectra in terms of bound states of massless constituent gluons with helicity-1. In this scheme, the mass hierarchy of the currently known gluelumps and glueballs is mainly due to the number of constituent gluons and can be understood within a simple flux tube model. It is also argued that the lattice QCD 0 +− glueball should be seen as a four-gluon bound state.
The pomeron conjecture and two gluon glueballs
2004
In this talk the pomeron conjecture is reviewed and constituent gluon models are derived. In a simple two-gluon glueball spectrum the pomeron trajectory and the daughter trajectories are computed. The open problems of two-gluon glueballs are discussed, including transversality and Yang's theorem, the spin tensor interactions, the structure of the string and decays. The related systems of charmed hybrids and
Glueball-Glueball Potential in a Constituent Gluon Model
International Journal of Modern Physics: Conference Series, 2012
In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock-Tani formalism. In the present work we calculate the glueball-glueball potential, in the context of the constituent gluon model, with gluon interchange.
Glueballs are considered to be bound states of constituent gluons. The relativistic wave equation for two massive gluons interacting by the funnel-type potential is analyzed. Using two exact asymptotic solutions of the equation, we derive an interpolating mass formula and calculate glueball masses in agreement with the lattice data. We obtain the complex non-linear Pomeron trajectory, αP (t), in the whole region of t. The real part of the trajectory corresponds to the soft pomeron, parameters of which are found from the fit of recent HERA data.