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Glueball Regge trajectories from gauge/string duality and the Pomeron

Henrique Boschi-Filho, Nelson R. F. Braga, Hector L. Carrion

TL;DR

The paper investigates glueball spectra and Regge trajectories using a holographic AdS slice approach, mapping four-dimensional spin $\ell$ to bulk scalar modes via $(\mu R)^2=\ell(\ell+4)$. By imposing Dirichlet or Neumann boundary conditions at $z_{max}=1/\Lambda_{QCD}$, discrete spectra are obtained and masses for even $J^{PC}$ states are extracted, with Neumann conditions yielding trajectories that closely resemble the soft Pomeron. Linear fits for Neumann give $\alpha^{\prime}\approx0.26\,\mathrm{GeV^{-2}}$ and $\alpha_0$ near $0.8$–$1.0$, while Dirichlet gives somewhat larger slopes around $0.36\,\mathrm{GeV^{-2}}$, suggesting Neumann boundaries better capture glueball Regge behavior in this framework. Overall, the results align well with lattice QCD and other holographic estimates, highlighting the potential of Neumann-boundary holography for nonperturbative QCD phenomena.

Abstract

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 Regge trajectories from gauge/string duality and the Pomeron

TL;DR

The paper investigates glueball spectra and Regge trajectories using a holographic AdS slice approach, mapping four-dimensional spin to bulk scalar modes via . By imposing Dirichlet or Neumann boundary conditions at , discrete spectra are obtained and masses for even states are extracted, with Neumann conditions yielding trajectories that closely resemble the soft Pomeron. Linear fits for Neumann give and near –, while Dirichlet gives somewhat larger slopes around , suggesting Neumann boundaries better capture glueball Regge behavior in this framework. Overall, the results align well with lattice QCD and other holographic estimates, highlighting the potential of Neumann-boundary holography for nonperturbative QCD phenomena.

Abstract

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.

Paper Structure

This paper contains 6 sections, 15 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Glueball Masses
  3. Dirichlet boundary conditions
  4. Neumann boundary conditions
  5. Regge trajectories
  6. Conclusion

Figures (2)

  • Figure 1: Approximate linear Regge trajectory for Neumann Boundary condition for the states $\,\,2^{++}\,,4^{++}\,,6^{++}\,,8^{++}\,,10^{++}\,$.
  • Figure 2: Approximate linear Regge trajectory for Dirichlet Boundary condition for the states $\,\,2^{++}\,,4^{++}\,,6^{++}\,,8^{++}\,,10^{++}\,$.