Towards reconciling the holographic and lattice descriptions of radially excited hadrons

Abstract

Within the framework of AdS/QCD models, the spectra of radially excited hadrons are identified with towers of Kaluza-Klein (KK) states in a putative dual theory. The infinite number of KK states is indispensable to provide correct high energy asymptotics of correlation functions in QCD. It is known, however, that the KK modes of dual theory must be qualitatively different from real hadrons. And what is more important, the radially excited states appear in lattice calculations not as "excitations" of some ground state, but rather as independent states coupled to higher dimensional QCD operators - the larger is a basis of interpolating operators, the larger set of states can be resolved. A question arises whether it is possible to reconcile the holographic and lattice descriptions of radially excited hadrons? We propose a new phenomenological "consistency test" for bottom-up holographic models: If the KK spectrum of massive 5D fields corresponding to higher dimensional operators in QCD coincides with the conventional radial KK spectrum, then the holographic KK states can be identified with real excited mesons in the large-Nc limit of QCD - as in the lattice QCD, they become a superposition of several states interpolated by operators of different canonical dimensions. We demonstrate that the Soft Wall holographic model passes this test while the Hard Wall model does not.

19 pages, to appear in the European Physical Journal C

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Cited by in corpus (7)

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• Gluon string breaking and meson spectrum in the holographic Soft Wall model
• A second Higgs near 0.5 TeV from bottom-up holographic modeling of beyond the Standard Model strong sector
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD
• Anomalous and Linear Holographic Hard Wall Models for Glueballs and the Pomeron
• On incorporation of heavy-quark mass into soft-wall holographic models