The D4/D8 Model and Holographic QCD

In this study, we investigated worldvolume fermions on the flavor brane in the D0–D4/D8 model, which is holographically equivalent to four-dimensional quantum chromodynamics with instantons or equivalently with a theta angle. The action involving the worldvolume fermions was obtained by the T-duality rules in string theory, and we accordingly derived their effective five-dimensional and canonical four-dimensional forms by using the systematic dimensional reduction and decomposition of the spinor. Subsequently, we used the AdS/CFT dictionary to evaluate the two-point correlation function as the spectral function for the worldvolume fermions and interpreted the fermions as baryons by analyzing their quantum number with the baryon vertex in holography. In this sense, the interacted action involving the worldvolume fermions and gauge field on the flavor brane was finally derived in holography, which describes the various interactions of mesons and baryons with instantons in the large-N limit. Therefore, this study provides a holographic picture to describe baryons and their interactions based on string theory, particularly in the presence of instantons or a theta angle.

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Correlation function of flavored fermion in holographic QCD

Li,

Zhang,

2024

Phys. Rev. D

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By using the gauge-gravity duality, we investigate the correlation function of flavored fermion in the Dp/Dp+4 model as top-down approaches of holographic QCD for p=4,3. The bulk spinor, as the source of the flavored fermion in QCD, is identified to the worldvolume fermion on the flavor Dp+4-branes and the standard form of its action can be therefore obtained by the T-duality rules in string theory. Keeping this in hand, we afterwards generalize the prescription for two-point correlation function in the AdS/CFT dictionary into general D-brane backgrounds and apply it to the case of p=4,3, i.e., the D4/D8 and D3/D7 approaches, respectively. Resultantly, our numerical calculation with the bubble background always displays discrete peaks in the correlation functions which imply the bound states created by the flavored fermions as the confinement in QCD. With the black brane background, the on-shell condition illustrated by the correlation function covers basically the dispersion curves of fermion obtained by the hard thermal loop approximation in the hot medium. Finally, we interpret the flavored fermions in the bubble background as baryons by taking into account a baryon vertex, then find the two-point correlation function is able to fit the lowest baryon spectrum. In this sense, we conclude remarkably that our top-down approach in this work could reveal the fundamental properties of QCD both in the confined and deconfined phases. Published by the American Physical Society 2024

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The D4/D8 Model and Holographic QCD

Cited by 5 publications

References 139 publications

Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton

Out-of-time-order correlator as a detector of baryonic phase structure in holographic QCD with instanton

Worldvolume fermions as baryons in holographic quantum chromodynamics with instantons

Correlation function of flavored fermion in holographic QCD

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