Structure function of holographic quark-gluon plasma: Sakai-Sugimoto model versus its non-critical version

Abstract

Motivated by recent studies of deep inelastic scattering (DIS) off the $\mathcal{N}=4$ super-Yang-Mills (SYM) plasma, holographically dual to $Ad{S}_5\times S^5$ black hole, we in this note use the spacelike flavor current to probe the internal structure of one holographic quark-gluon plasma, which is described by the Sakai-Sugimoto model at high temperature phase (i.e., the chiral symmetric phase). The plasma structure function is extracted from the retarded flavor current-current correlator. Our main aim here is to explore the effect of non-conformality on these physical quantities. As usual, our study is under the supergravity approximation and the limit of large color number. Although the Sakai-Sugimoto model is non-conformal, which makes the calculations more involved than the well-studied $\mathcal{N}$=4 SYM case, the result seems to indicate that the non-conformality has little essential effect on the physical picture of the internal structure of holographic plasma, which is consistent with the intuition from the asymptotic freedom of QCD at high energy. While the physical picture underlying our investigation is same as the DIS off the $\mathcal{N}$=4 SYM plasma with(out) flavor, the plasma structure functions are quantitatively different, especially their scaling dependence on the temperature, which can be recognized as model-dependent. As a comparison, we also do the same analysis for the non-critical version of the Sakai-Sugimoto model which is conformal in the sense that it has a constant dilaton vacuum. The result for this non-critical model is much similar to the conformal $\mathcal{N}=4$ SYM plasma. We therefore attribute the above difference to the effect of non-conformality of the Sakai-Sugimoto model.

22 pages, no figure, Version accepted by Physical Review D

References in corpus (19)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Exploring improved holographic theories for QCD: Part II
• The Pomeron and Gauge/String Duality
• A holographic model of deconfinement and chiral symmetry restoration
• Chiral Phase Transition from String Theory
• Saturation in Deep Inelastic Scattering from AdS/CFT
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• On AdS/QCD correspondence and the partonic picture of deep inelastic scattering
• Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS
• Deep inelastic scattering from gauge string duality in the soft wall model
• Deep inelastic structure functions from supergravity at small x
• Quark Soup al dente: Applied Superstring Theory
• Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality
• Deep inelastic scattering from gauge string duality in D3-D7 brane model
• Deep inelastic scattering for vector mesons in holographic D4-D8 model
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Mesonic quasinormal modes of the Sakai-Sugimoto model at high temperature
• Non critical holographic models of the thermal phases of QCD
• Holographic model for dilepton production in p-p collisions

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