Hadronic Spectrum of a Holographic Dual of QCD

TL;DR

This paper calculates the spectrum of light hadrons using a holographic dual of QCD, achieving good agreement with observed patterns by relating string modes to hadron operators and using only one parameter, Lambda_{QCD}.

Contribution

It introduces a holographic model of QCD on AdS_5 d7 S^5 that reproduces hadron spectra with minimal parameters and matches experimental patterns.

Findings

Spectra of light hadrons are computed with good agreement to experimental data.

The ratio of Delta to nucleon trajectories is derived from Bessel function zeros.

Only one parameter, Lambda_{QCD}, is used in the model.

Abstract

We compute the spectrum of light hadrons in a holographic dual of QCD defined on $AdS_5 \times S^5$ which has conformal behavior at short distances and confinement at large interquark separation. Specific hadrons are identified by the correspondence of string modes with the dimension of the interpolating operator of the hadron's valence Fock state. Higher orbital excitations are matched quanta to quanta with fluctuations about the AdS background. Since only one parameter, the QCD scale $\Lambda_{QCD}$, is used, the agreement with the pattern of physical states is remarkable. In particular, the ratio of Delta to nucleon trajectories is determined by the ratio of zeros of Bessel functions.