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arXiv · hep-th/0404260

The Holographic Life of the eta'

Jose L. F. Barbon·Carlos Hoyos·David Mateos·Robert C. Myers
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Abstract

In the string holographic dual of large-N_c QCD with N_f flavours of Kruczenski et al, the eta' meson is massless at infinite N_c and dual to a collective fluctuation of N_f D6-brane probes in a supergravity background. Here we identify the string diagrams responsible for the generation of a mass of order N_f/N_c, consistent with the Witten-Veneziano formula, and show that the supregravity limit of these diagrams corresponds to mixings with pseudoscalar glueballs. We argue that the dependence on the theta-angle in the supergravity description occurs only through the combination theta + 2 \sqrt{N_f} eta' / f_pi, as dictated by the U(1) anomaly. We provide a quantitative test by computing the linear term in the eta' potential in two independent ways, with perfect agreement.

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Jose L. F. Barbon, Carlos Hoyos, David Mateos, Robert C. Myers. 2004-12-07. The Holographic Life of the eta'. https://doi.org/10.1088/1126-6708%2F2004%2F10%2F029

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