A generalized Polchinski-Strassler ansatz that keeps the extra-dimensional momentum terms restores the constituent counting rule for rho-meson scattering and satisfies the Nambu-Goldstone equivalence theorem.
Mesons as Open Strings in a Holographic Dual of QCD
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abstract
We study meson spectrum obtained from massive open string modes in a holographic dual of QCD constructed on the basis of a D4/D8-brane configuration in type IIA string theory. The spectrum includes mesons with spin higher than one. Taking into account the effect of curved background perturbatively, we obtain a mass formula for these mesons, which exhibits the linear Regge behavior at the leading order with subleading non-linear corrections. We argue that the string spectrum captures some features of the observed meson spectrum. For example, a_2(1320), b_1(1235), \pi(1300), a_0(1450), etc., are identified as the first excited massive open string states and \rho_3(1690), \pi_2(1670), etc., are identified as the second excited states.
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High-Energy Fixed-Angle Meson Scattering and the Constituent Counting Rule in Holographic QCD
A generalized Polchinski-Strassler ansatz that keeps the extra-dimensional momentum terms restores the constituent counting rule for rho-meson scattering and satisfies the Nambu-Goldstone equivalence theorem.