Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD

Abstract

We revisit the $U(1{)}_A$ anomaly in the holographic model of low-energy QCD by Witten, Sakai, and Sugimoto, presenting a new and direct derivation of the Witten-Veneziano mechanism for generating the mass of the ${\eta }^{\prime }$ through an anomalous mixing of the Ramond-Ramond $C_1$ field with the singlet component of the pseudoscalar mesons. The latter turns out to have a kinetic mixing with the normalizable modes of the $C_1$ field representing pseudoscalar glueballs, yielding additional vertices for their production and their decay that dominate over those of the unmixed case considered previously in the Witten-Sakai-Sugimoto model. The leading channel is predicted to be decay into two vector mesons, followed in importance by decay into three pseudoscalar mesons. The issue of production of pseudoscalar glueballs in radiative $J/\psi$ decays and in double diffractive processes is also discussed briefly.

arXiv comment1+19 pages, 1 figure, 3 tables. v2: reference added

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• Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
• Heavy Holographic QCD
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Holographic Nuclear Physics with Massive Quarks
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model
• Spin-1 Glueballs in the Witten-Sakai-Sugimoto Model
• Glueball-Meson Mixing In Holographic QCD
• Nature of $X(2370)$