Based on gauge-gravity duality, by using holographic entanglement entropy, we have done a phenomenological study to probe confinement-deconfinement phase transition in the QCD-like gauge theory. Our outcomes are in perfect agreement with the expected results, qualitatively and quantitatively. We find out that the (holographic) entanglement entropy is a reliable order parameter for probing the phase transition.

Using holographic subregion complexity, we study the confinement-deconfinement phase transition of quantum chromodynamics. In the model we consider here, we observe a connection between the potential energy of probe meson and the behavior of its complexity. Moreover, near the critical point, at which the phase transition takes place, our numerical calculations indicate that we need less information to specify a meson in the non-conformal vacuum than in the conformal one, despite the fact that the non-conformal vacuum has larger energy! * s − lezgi@sbu.ac.ir † m − aliakbari@sbu.ac.ir

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale Λ. At zero temperature, we observe that entanglement entropy decreases by raising Λ. However, at finite temperature, we realize that both Λ T and entanglement entropy rise together. Comparing entanglement entropy of the non-conformal theory, S A(N ) , and of its conformal theory at the U V limit, S A(C) , reveals that S A(N ) can be larger or smaller than S A(C) , depending on the values of Λ and T .

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