Abstract
Within the bottom-up holographic QCD using anisotropic black brane solutions in 5D Einstein-dilaton-two-Maxwell system constructed in [1, 2], we study the temporal Wilson loops with arbitrary orientation in respect to the anisotropy direction. We calculate the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. The dynamical wall locations, providing the quark confinement, depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory.
Highlights
Study of the QCD phase diagram, as a function of temperature T and chemical potential μ, is one of the most important problems
The AdS/CFT duality provides an alternative tool for dynamics understanding of quark-gluon plasma (QGP) produced in the heavy-ions-collisions (HIC) [3,4,5,6]
We have studied the dependence of behavior of the temporal Wilson loops on the orientation specified by arbitrary angle θ in the background (2)
Summary
Study of the QCD phase diagram, as a function of temperature T and chemical potential μ, is one of the most important problems. It is natural to consider an anisotropic metric within the holographic approach. Anisotropy is usually provided by adding magnetic ansatz of Maxwell field to dilaton gravity action. Non-zero chemical potential is introduced via electic ansatz for the second Maxwell field. Thereby the 5-dimensional dilaton gravity with two Maxwell fields turns out to be the most suitable model. Such model was considered in [1, 7]. To find the black brane solution in the anisotropic background, we used the metric ansatz in the following form:. Using E.O.M. following from (2), one finds coupling function f2, potential V, Maxwell field potential Aμ and blackening function g.
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