Subregion complexity and confinement-deconfinement transition in a holographic QCD model

Abstract

We study the subregion complexity in a semi-analytical holographic QCD model. Two cases with different warped factor are considered and both can realize confinement-deconfinement transition. By studying the behavior of the renormalized holographic complexity density $\hat{\mathcal{C}}$ versus the subregion length scale $\ell$, we find that for both cases, $\hat{\mathcal{C}}$ always experiences a discontinuity at certain critical value ${\ell }_c$ in confinement phases, while it is always continuous in deconfinement phases. This property may be seen as a signal to characterize confinement or deconfinement phases. The behavior of $\hat{\mathcal{C}}$ versus the temperature and chemical potential is also investigated and our results show that $\hat{\mathcal{C}}$ exhibits behavior characterizing the type of the transition. That is, it experiences a discontinuity at the transition temperature for $\mu <{\mu }_c$ where first-order confinement-deconfinement phase transition happens, while it is always continuous for $\mu >{\mu }_c$ where the transition turns into a turnover. These results imply that the renormalized holographic complexity density may be used as a good parameter to characterize the corresponding phase structures.

v1:21 pages, 8 figures; v2:minor modifications, refs added. Publised version

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Cited by in corpus (8)

• Subregion Action and Complexity
• On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
• Complexity in the presence of a boundary
• Interplay between the holographic QCD phase diagram and mutual & $n$-partite information
• Holographic Subregion Complexity in Einstein-Born-Infeld theory
• Holographic Subregion Complexity in General Vaidya Geometry
• Subregion complexity in holographic thermalization with dS boundary
• Complexity, scaling, and a phase transition