Sakai-Sugimoto brane system at high density

Yamada, Daiske

doi:10.1088/1126-6708/2008/10/020

Cited by 23 publications

(26 citation statements)

References 46 publications

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“…That model also displays a first-order meson melting transition as described in [195,211]. Additional finite density studies can be found in [173,174,[212][213][214][215][216][217]. As an example we consider here spectral functions at finite temperature and the quark chemical potential as discussed in [209].…”

Section: More Thermodynamicsmentioning

confidence: 98%

Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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Section: More Thermodynamicsmentioning

confidence: 98%

Mesons in gauge/gravity duals

et al. 2008

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“…16 The scalar mesons feel the chemical potential through the commutators in the covariant derivatives. The equation of motion for the scalars in the I and σ 3 directions are unaffected by the chemical potential (4.2), while the equations for the σ 1 and σ 2 components are easily generalized from those in [10].…”

Section: Transverse Vectors and Scalarsmentioning

confidence: 99%

Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

Aharony

Peeters

Sonnenschein

et al. 2008

J. High Energy Phys.

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We analyze the effect of an isospin chemical potential µ I in the Sakai-Sugimoto model, which is the string dual of a confining gauge theory related to large N c QCD, at temperatures below the chiral symmetry restoration temperature. For small chemical potentials we show that the results agree with expectations from the low-energy chiral Lagrangian, and the charged pion condenses. When the chemical potential reaches a critical value µ I = µ crit ≃ 1.7m ρ , the lowest vector meson (the "rho meson") becomes massless, and it condenses (in addition to the pion condensate) for µ I > µ crit . This spontaneously breaks the rotational symmetry, as well as a residual U(1) flavor symmetry. We numerically construct the resulting new ground state for µ I > µ crit .

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“…In the holographic QCD model, a chemical potential for baryon number corresponds to a nonzero asymptotic value of the electrostatic potential on the D8-branes [25,26,27,28,29,30,31]. In our model, a constant baryon chemical potential has been naively introduced.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Baryon number current in holographic noncommutative QCD

2017

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We consider the noncommutative deformation of the finite temperature holographic QCD (Sakai--Sugimoto) model in external electric and magnetic field and evaluate the effect of the noncommutaivity on the properties of the conductor-insulator phase transition associated with a baryon number current. Although the noncommutative deformation of the gauge theory does not change the phase structure with respect to the baryon number current, the transition temperature $T_{c}$, the transition electric field $e_{c}$ and magnetic field $b_{c}$ in the conductor-insurator phase transition depend on the noncommutativity parameter $\theta$. Namely, the noncommutativity of space coordinates has an influence on the shape of the phase diagram for the conductor-insurator phase transition. On the other hand, the allowed range of the noncommutativity parameter can be restricted by the reality condition of the constants of motion.Comment: 25 pages, 8 figures. arXiv admin note: text overlap with arXiv:1310.0393, arXiv:1011.290

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Sakai-Sugimoto brane system at high density

Cited by 23 publications

References 46 publications

Mesons in gauge/gravity duals

Mesons in gauge/gravity duals

Rho meson condensation at finite isospin chemical potential in a holographic model for QCD

Baryon number current in holographic noncommutative QCD

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