Gauge/string duality and hadronic physics

Boschi-Filho, Henrique; Braga, Nelson R. F.

doi:10.1590/s0103-97332007000400016

Cited by 4 publications

(3 citation statements)

References 52 publications

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“…Since its advent in the late 1990's, the celebrated antide Sitter/conformal field theory (AdS/CFT) correspondence [1][2][3][4] has been extended and applied to different areas of physics. Such developments have lead to what is now known as the AdS/QCD [5][6][7][8], the AdS/condensed matter [9][10][11], and the fluid/gravity [12][13][14] correspondences. Over the last two decades, the AdS/CFT duality has allowed the study of properties of strongly coupled systems in a n-dimensional flat spacetime by mapping them to a weakly coupled gravitational theory in an asymptotically AdS n+1 spacetime.…”

Section: Introductionmentioning

confidence: 99%

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

et al. 2018

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A certain identification of points in a planar Schwarzschild-anti de Sitter (AdS) black hole generates a four-dimensional static black string. In turn, a rotating black string can be obtained from a static one by means of a local boost along the compact direction. On the basis of the gauge/gravity duality, these black strings are dual to rotating thermal states of a strongly interacting conformal field theory (CFT) that lives on a cylinder. In this work, we obtain the complete quasinormal mode (QNM) spectrum of the gravitational perturbations of rotating black strings. Analytic solutions for the dispersion relations are found in the hydrodynamic limit, characterized by fluctuations with wavenumber and frequency much smaller than the Hawking temperature of the string (or the temperature of the CFT in the dual description). We obtain these dispersion relations both by studying the gravitational perturbations of rotating black strings and by investigating relativistic wave vectors in a moving fluid living on the boundary of the AdS spacetime. Relativistic effects like the Doppler shift of the frequencies, wavelength contraction, and dilation of the thermalization time are shown explicitly in such a regime. The numerical solutions for the fundamental QNMs show a crossover (a transition) from a hydrodynamic-like behavior to a linear relativistic scaling for large wavenumbers. Additionally, we find a new family of QNMs which are purely damped in the zero wavenumber limit and that does not follow as a continuation of QNMs of the static black string, but that appears to be closely related to the algebraically special perturbation modes. I. INTRODUCTIONSince its advent in the late 1990's, the celebrated antide Sitter/conformal field theory (AdS/CFT) correspondence [1-4] has been extended and applied to different areas of physics. Such developments have lead to what is now known as the AdS/QCD [5][6][7][8], the AdS/condensed matter [9][10][11], and the fluid/gravity [12][13][14] correspondences. Over the last two decades, the AdS/CFT duality has allowed the study of properties of strongly coupled systems in a n-dimensional flat spacetime by mapping them to a weakly coupled gravitational theory in an asymptotically AdS n+1 spacetime. In applications to particle physics, top-down and bottom-up models were used to study, among other things, the mass spectrum, the correlation functions, and the deep inelastic scattering of glueballs, vector and scalar mesons [15][16][17][18][19][20][21][22][23]. Some phenomena in condensed matter, such as the hightemperature superconductivity [24][25][26], the classical and quantum Hall effects [27][28][29][30][31][32] and the (non-)Fermi liquid behavior of certain materials [33][34][35], were also object of study in the literature. In relation to plasma physics, the fluid/gravity correspondence establishes a one-to-one

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Section: Introductionmentioning

confidence: 99%

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

et al. 2018

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“…There is now a variety of bottom-up and top-down AdS/QCD models being used to study many problems in strong interactions like the computation of deep inelastic structure functions, the hadronic spectra and the energy loss by heavy quarks in a plasma (for reviews on the subject see refs. [5][6][7][8][9][10][11]). More recently, the AdS/CFT duality has been applied to study condensed-matter systems.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic quasinormal modes of rotating black strings and the AdS/CFT correspondence

Morgan

Miranda

Zanchin

2013

J. High Energ. Phys.

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We investigate the quasinormal spectrum of electromagnetic perturbations of rotating black strings. Among the solutions of Einstein equations in the presence of a negative cosmological constant there are asymptotically anti-de Sitter (AdS) black holes whose horizons have the topology of a cylinder. The stationary version of these AdS black holes represents rotating black strings. The conformal field theory (CFT) dual of a black string lives in a Minkowski space with a compact dimension. On the basis of the AdS/CFT duality, we interpret a CFT plasma moving with respect to the preferred rest frame introduced by the topology as the holographic dual to a rotating black string. We explore the consequences of this correspondence by investigating the electromagnetic perturbations of a black string for different rotation parameter values. As usual the electromagnetic quasinormal modes (QNM) correspond to the poles of retarded Green's functions of R-symmetry currents in the boundary field theory. The hydrodynamic regime of the QNM dispersion relations are analytically studied. Finally, we investigate numerically the effect of rotation on all the family of black-string electromagnetic quasinormal modes. We interpret these results from the CFT perspective and notice the emergence of effects like Doppler shift of the frequencies and dilation of the thermalization times.In terms of M and J, the condition of existence of an event horizon a 2 α 2 ≤ 1 becomes J 2 α 2 ≤ M 2 , and the horizon function f (r) = 1 − b/α 3 r 3 reads f (r) = 1 − 3 1 − 8 9J 2 α 2 M 2 − 1 2M α 3 r 3 , (2.10)

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“…Holographic string-theory models are now used to study the physics of strong interactions and condensed matter, both in the zero-and finite-temperature regimes (see, e.g., Refs. [4][5][6][7][8][9][10] for reviews and lecture notes on AdS/CFT applications to QCD and condensed matter physics). One of the essential ingredients of this approach is the weak/strong relationship between the coupling constants [11].…”

Section: Introductionmentioning

confidence: 99%

Gravitational quasinormal modes of AdS black branes indspacetime dimensions

Morgan

Cardoso

Miranda

et al. 2009

J. High Energy Phys.

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The AdS/CFT duality has established a mapping between quantities in the bulk AdS black-hole physics and observables in a boundary finite-temperature field theory. Such a relationship appears to be valid for an arbitrary number of spacetime dimensions, extrapolating the original formulations of Maldacena's correspondence. In the same sense properties like the hydrodynamic behavior of AdS black-hole fluctuations have been proved to be universal. We investigate in this work the complete quasinormal spectra of gravitational perturbations of d-dimensional plane-symmetric AdS black holes (black branes). Holographically the frequencies of the quasinormal modes correspond to the poles of two-point correlation functions of the field-theory stress-energy tensor. The important issue of the correct boundary condition to be imposed on the gauge-invariant perturbation fields at the AdS boundary is studied and elucidated in a fully d-dimensional context. We obtain the dispersion relations of the first few modes in the low-, intermediate-and high-wavenumber regimes. The sound-wave (shear-mode) behavior of scalar (vector)-type low-frequency quasinormal mode is analytically and numerically confirmed. These results are found employing both a power series method and a direct numerical integration scheme.

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Gauge/string duality and hadronic physics

Abstract: We review some recent results on phenomenological approaches to strong interactions inspired in gauge/string duality. In particular, we discuss how such models lead to very good estimates for hadronic masses.

Cited by 4 publications

References 52 publications

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma

Electromagnetic quasinormal modes of rotating black strings and the AdS/CFT correspondence

Gravitational quasinormal modes of AdS black branes indspacetime dimensions

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