Holographic Anisotropic Background with Confinement-Deconfinement Phase Transition

Abstract

We present new anisotropic black brane solutions in 5D Einstein-dilaton-two-Maxwell system. The anisotropic background is specified by an arbitrary dynamical exponent $\nu$, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to $\nu =1$ and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram. We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points $({\mu }_{\vartheta ,b},T_{\vartheta ,b})$ depending on the orientation $\vartheta$ of quark-antiquark pairs in respect to the heavy ions collision line.

68 pages, 45 figures, LaTeX, misprints corrected

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• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Heavy ions and string theory
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• Asymmetric Collision of Two Shock Waves in AdS_5
• Drag force in a strongly coupled anisotropic plasma
• The Cornell Potential from General Geometries in AdS / QCD
• On the sign of the dilaton in the soft wall models
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• Thermal photon production in a strongly coupled anisotropic plasma
• Multiplicities from black-hole formation in heavy-ion collisions
• Critical Trapped Surfaces Formation in the Collision of Ultrarelativistic Charges in (A)dS
• Quarkonium dissociation by anisotropy
• Analytic black branes in Lifshitz-like backgrounds and thermalization
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• Some aspects of QGP phase in a hQCD model
• More on thermal probes of a strongly coupled anisotropic plasma
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