Holographic model for heavy quarks in anisotropic hot dense QGP with external magnetic field

Irina Ya Aref’Eva,Pavel Slepov,Kristina Rannu

doi:10.1007/jhep07(2021)161

Irina Ya Aref’Eva, Pavel Slepov + Show 1 more

Open Access

https://doi.org/10.1007/jhep07(2021)161

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Abstract

We present a five-dimensional fully anisotropic holographic model supported by Einstein-dilaton-three-Maxwell action. One of the Maxwell fields provides chemical potential; finite chemical potential values are considered. The second Maxwell field serves for anisotropy, representing real spacial anisotropy of the QGP produced in heavy-ion collisions. The third Maxwell field is related to an external magnetic field. Influence of the external magnetic field on the 5-dim black hole solution and the confinement/deconfinement phase diagram, reconstructing the phase transition curves for heavy quarks, is considered. The effect of the inverse magnetic catalyses is revealed and positions of critical end points are found.

Highlights

Choice of the warp factor in the metrics strongly influences the phase transition structure of HQCD
We present a five-dimensional fully anisotropic holographic model supported by Einstein-dilaton-three-Maxwell action
The absence of the general scheme of study for different regimes in QCD is the origin to develop holographic approach to QCD. It occurred that the phase diagram describing heavy quarks can be obtained via deformation of AdS5 by wrap factor that is the exponential of a polynomial on holographic coordinate

Summary

Metric and EOM

Taking the same gauge function is equivalent to a single Maxwell field on special ansatz, producing both chemical potential and external magnetic field. Our current choice of function can reproduce many phenomenologically expected results (such as phase transitions in (μ, T ) plane), and with acceptable parameters, the structure of the considered holographic model is quite rich. This work does not pretend to be a complete exhaustive description It is constructed mostly as a versatile setup for further deriving optional variety of particular solutions. The form of the integration boundary z0 = z0(zh) determines the string tension behavior in the model. This aspect was discussed in more details in [47, 54].

Solution for heavy quarks model

Temperature and entropy

Free energy and background phase transition

Conclusions