A new approach to radial spectrum of hadrons in bottom-up holographic QCD

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Within the AdS/CFT correspondence, for description of \mathcal{N}=4N=4 super Yang-Mills theory in four dimensions one needs not only low-energy supergravity on AdS_5

but also the whole infinite tower of massive Kaluza-Klein (KK) states on AdS_5\times


which appear after the KK-compactification on five-dimensional sphere. The latter aspect is usually ignored in phenomenological AdS/QCD models. The emerging massive 5D fields on AdS_5

are dual to higher-dimensional operators in 4D gauge theory, with masses being known polynomial functions of canonical dimensions of these operators. Motivated by this observation, we propose to calculate the spectrum of radially excited hadrons in bottom-up holographic QCD models as spectrum of zero KK modes of massive 5D fields dual to higher dimensional operators in QCD. A relevant physical motivation is suggested. The radial states with growing masses are then enumerated by growing dimensions of interpolating QCD operators. We tested the proposal in the Soft Wall and Hard Wall holographic models in the sector of light mesons. The spectrum of Soft Wall model turns out to be unchanged in the new description. But in the Hard Wall model, our approach is shown to lead to a much better phenomenological spectrum of vector radial excitations than the traditional description.
Original languageEnglish
Pages (from-to)109-114
Number of pages6
JournalActa Physica Polonica B, Proceedings Supplement
Issue number1
StatePublished - 2021

Scopus subject areas

  • Physics and Astronomy(all)


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