Matrix model and Holographic Baryons in the D0-D4 background

Abstract

We study on the spectrum and short-distance two-body force of holographic baryons by the matrix model, which is derived from Sakai-Sugimoto model in D0-D4 background (D0-D4/D8 system). The matrix model is derived by using the standard technique in string theory and it can describe multi-baryon system. We re-derive the action of the matrix model from open string theory on the wrapped baryon vertex, which is embedded in the D0- D4/D8 system. The matrix model offers a more systematic approach to the dynamics of the baryons at short distances. In our system, we find that the matrix model describe stable baryonic states only if $\zeta =U_{Q_0}^3/U_{KK}^3<2$, where $U_{Q_0}^3$ is related to the number density of smeared D0-branes. This result in our paper is exactly the same as some previous presented results studied on this system as \cite{key-24 Baryons in D0-D4}. We also compute the baryon spectrum ($k=1$ case) and short-distance two-body force of baryons ($k=2$ case). The baryon spectrum is modified and could be able to fit the experimental data if we choose suitable value for $\zeta$. And the short-distance two-body force of baryons is also modified by the appearance of smeared D0-branes from the original Sakai-Sugimoto model. If $\zeta >2$, we find that the baryon spectrum would be totally complex and an attractive force will appear in the short-distance interaction of baryons, which may consistently correspond to the existence of unstable baryonic states.

19 pages

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Cited by in corpus (19)

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• Glueball-baryon interactions in holographic QCD
• Three-dimensional Yang-Mills Chern-Simons theory from D3-brane background with D-instantons
• The D4/D8 model and holographic QCD
• Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background
• The theta-dependent Yang-Mills theory at finite temperature in a holographic description
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Sound waves in the compactified D0-D4 brane system
• Correlation function of flavored fermion in holographic QCD
• Holographic Schwinger effect in the confining background with D-instanton
• The interaction of glueball and heavy-light flavoured meson in holographic QCD
• Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton
• Corrections to the instanton configuration as baryon in holographic QCD
• Nuclear binding energy in holographic QCD
• Holographic spectroscopy of fermion with instantons
• The worldvolume fermion as baryon in holographic QCD with instanton
• Chaos in the holographic matrix models for meson and baryon