Holographic anisotropic background with confinementdeconfinement phase transition

Kristina Rannu,V.E Volkova,V.A Rubakov,Y.V Zhezher,D.G Levkov,V.A Matveev

doi:10.1051/epjconf/201819105013

Kristina Rannu, V.E Volkova + Show 4 more

Open Access

https://doi.org/10.1051/epjconf/201819105013

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Abstract

We present new anisotropic black brane solutions in 5D Einsteindilaton- two-Maxwell system [1]. The anisotropic background is specified by an arbitrary dynamical exponent v, 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 v = 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.

Highlights

Accepting holographical approach to quark-gluon plasma (QGP) we need natural theory with metric as solution of EOM
The form of these equations depends on quark-antiquark orientation so we can clearly see the influence of anisotropy
While the chemical potential is greater than the critical value, the black hole horizon grows gradually and continuously passes the critical horizon, corresponding to, so that the confinement phase transforms to the deconfinement phase smoothly

Summary

Introduction

Accepting holographical approach to quark-gluon plasma (QGP) we need natural theory with metric as solution of EOM. The most interesting holographic phenomenology, describing heavy ions collisions (HIC), is related with the model containing vector field responsible μ 0, that allows to restore phase transition diagram in temperature-chemical potential plane T (μ) [2, 3]. For these purposes the following metric is well suited [4]:. In this work we consider the black brane solution in the anisotropic background, using the metric ansatz (1). In this work we followed the Yang and Yuan articles [6, 7] Their solution was isotropic but included the non-zero chemical potential

Black brane anisotropic solution

RG-flow

Thermodynamics of the background

Confinement-deconfinement phase transition

Conslusions