Low energy hadron physics in holographic QCD

By T. Sakai, S. Sugimoto. 2004

1,474 citations recorded by the source corpus.

We present a holographic dual of four-dimensional, large N_c QCD with massless flavors. This model is constructed by placing N_f probe D8-branes into a D4 background, where supersymmetry is completely broken. The chiral symmetry breaking in QCD is manifested as a smooth interpolation of D8 - anti-D8 pairs in the supergravity background. The meson spectrum is examined by analyzing a five-dimensional Yang-Mills theory that originates from the non-Abelian DBI action of the probe D8-brane. It is found that our model yields massless pions, which are identified with Nambu-Goldstone bosons associated with the chiral symmetry breaking. We obtain the low-energy effective action of the pion field and show that it contains the usual kinetic term of the chiral Lagrangian and the Skyrme term. A brane configuration that defines a dynamical baryon is identified with the Skyrmion. We also derive the effective action including the lightest vector meson. Our model is closely related to that in the hidden local symmetry approach, and we obtain a Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin-type relation among the couplings. Furthermore, we investigate the Chern-Simons term on the probe brane and show that it leads to the Wess-Zumino-Witten term. The mass of the \eta' meson is also considered, and we formulate a simple derivation of the \eta' mass term satisfying the Witten-Veneziano formula from supergravity.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f84693d7214d7e0387ed0e42d5b83073e0088a40

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In Nuclear and High Energy Physics

1. E. Kiritsis
2. M. Rangamani
3. D. Mateos
4. R. Myers
5. S. Hartnoll
6. Marika Taylor
7. V. Hubeny
8. S. Gubser

Citations in the corpus

• Mesons in gauge/gravity duals (2007, methodology): “In [24] the phase of the quark condensate was identified with the value of the gauge field Az living on the D8 world volume.”
• Chiral symmetry breaking as open string tachyon condensation (2007, background): “A = ià , F = iF̃ where Ã, F̃ are the gauge field and field strength used in [7].”
• Supercurrent: Vector hair for an AdS black hole (2008, background): “[4] Tadakatsu Sakai and Shigeki Sugimoto.”
• Precision holography for non-conformal branes (2008, background): “A simple model which includes confinement and chiral symmetry breaking can be obtained from the decoupling limit of a D4-brane background, with D8-branes added to include flavor, the Witten-Sakai-Sugimoto model [15, 16, 17].”
• Hot spacetimes for cold atoms (2008, methodology): “In this regard, it would be interesting to Melvinize the Sakai-Sugimoto model [35]; it has a better chance of describing a system conaining only fermionic atoms.”
• Unquenched Flavor in the Gauge/Gravity Correspondence (2010, methodology): “In the context of the Sakai-Sugimoto model [19], backreaction from localized D8-D̄8 branes was analysed in [49].”
• Brane tilings and their applications (2008, background): “These theories are interesting, because show have QCD-like behavior such as confinement and chiral symmetry breaking, as exemplified in the seminal work of Klebanov and Strassler [90].”
• (INVITED) Vortex solitons: Old results and new perspectives (2019, background): “In addition to physics of nuclear matter and the classical field theory, which are the origin of the Skyrme model and diverse 3D states generated by it [30–32, 43–45], these complex 3D modes find important realizations in ferromagnets [46, 47], semiconductors [37, 38], superconductors [42], and in v”
• Baryons from instantons in holographic QCD (2007, methodology): “It can be shown that the baryon number of the Skyrmion, which is defined as a winding number carried by the pion field, is equivalent to the instanton number in the 5d YM theory.”
• Cold Nuclear Matter In Holographic QCD (2007, methodology): “Thus, to the original D4-branes, which we can take to lie in the 01234 directions with the x4 direction periodic, Sakai and Sugimoto consider adding a stack of Nf D8-branes and a stack of Nf anti-D8 branes separated at fixed locations in the x4 directions and extended along the remaining directions.”
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “The most closely related to QCD is of Sakai and Sugimoto [93, 94], where the ’color’ Yang-Mills fields are introduced by the massless open string fluctuations of a stack of Nc D4-branes wrapped on a circle, and flavor degrees of freedom through fermionic open string fluctuations between D4-branes an”
• Gravity duals for non-relativistic CFTs (2008, background): “A system with symmetries under which only fermions are charged (such as [21]) could be useful, and would seem more likely to be related to cold fermions away from the fixed point.”
• Light-front holographic QCD and emerging confinement (2014, methodology): “While phenomenological AdS/QCD models often take the slice of AdS5 as the background space-time, in models based on string theory the space-time geometry is dictated by the corresponding brane configuration and may be quite different from AdS5 [53, 38, 39].”