Configuration entropy and confinement/deconfinement transiton in holographic QCD

In the holographic AdS/QCD approach, confinement/deconfinement transition is associated with Hawking-Page of a thermal anti-de Sitter (AdS) space to an AdS black hole. case hard wall model, takes place in planar thanks introduction infrared cut-off geometry. The corresponding thermodynamic entropy $SU(N) $ gauge theory jumps from proportional $N^0$ confined hadronic phase $N^2$ plasma phase, presence color degrees freedom. understood by considering semiclassical picture system consisting two different geometries that are asymptotically AdS. One hole and other space. relative stability between these competing varies temperature. So, essentially problem stability. An interesting tool study physical systems configuration (CE), inspired Shannon informational entropy. this work we investigate CE for model at finite We propose regularized form energy densities (BH) makes it possible calculate their CEs as function find relation value geometries. Remarkably, found $\log(T)$, where $T$ This result write out simple entropies.