https://doi.org/10.1140/epjc/s10052-020-8306-y
Regular Article - Theoretical Physics
Towards reconciling the holographic and lattice descriptions of radially excited hadrons
Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
* e-mail: s.afonin@spbu.ru
Received:
22
April
2020
Accepted:
30
July
2020
Published online:
11
August
2020
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 is it 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 dual 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-
limit of QCD. We demonstrate that the Soft Wall holographic model passes this test while the Hard Wall model does not.
© The Author(s), 2020
