Holographic anisotropic background with confinement-deconfinement phase transition

Abstract

We present new anisotropic black brane solutions in 5D Einstein-dilaton-twoMaxwell system. The anisotropic background is specified by an arbitrary dynamical exponent ν, 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 ν = 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 (µ ϑ,b , T ϑ,b ) depending on the orientation ϑ of quark-antiquark pairs in respect to the heavy ions collision line.

Inverse anisotropic catalysis in holographic QCD

“…In this section, we investigate the mechanism behind this decay in some more detail by studying quark-antiquark potential at zero temperature. See also [81,82] for the analysis of the potentials in an anisotropic setup in slightly simpler models.…”

Holographic spontaneous anisotropy

“…This in principle could lead to the observation of stars more compact than the ones allowed by isotropic matter, see, e.g., [3,4]. Strongly coupled anisotropic phases have been studied using holography in a variety of setups, including axionic/dilatonic sources [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], electric [21][22][23] and magnetic fields [24][25][26][27][28][29][30][31][32][33] or both [34][35][36][37][38], and p-wave superfluids [39][40][41][42][43][44]. Strongly coupled holographic matter has also been studied in the context of compact stars [45][46][47][48][49][...…”

Orientation dependence of confinement-deconfinement phase transition in anisotropic media

“…On the gravity side anisotropy is supplied with the magnetic ansatz of Maxwell field to dilaton gravity action. Non-zero chemical potential is introduced via electric ansatz for the second Maxwell field [13]. Thereby the 5-dimensional dilaton gravity with two Maxwell fields turns out to be the most suitable model.…”