Configuration entropy and confinement-deconfinement transition in higher-dimensional hard wall model

Abstract

We consider a higher-dimensional hard wall model with an infrared (IR) cut-off in asymptotically AdS space and investigate its thermodynamics via the holographic renormalization method. We find a relation between the confinement temperature and the IR cut-off for any dimension. It is also shown that the entropy of $p$-branes with the number of coincident branes (the number of the gauge group) $N$ jumps from leading order in $\mathcal{O}$($N^0$) at the confining low temperature phase to $\mathcal{O}$($N^{\frac{p+1}{2}}$) at the deconfining high temperature phase like $D3$-branes ($p=3$) case. On the other hand, we calculate the configuration entropy (CE) of various magnitudes of an inverse temperature at an given IR cut-off scale. It is shown that as the inverse temperature grows up, the CE above the critical temperature decreases and AdS black hole (BH) is stable while it below the critical temperature is constant and thermal AdS (ThAdS) is stable. In particular, we also find that the CE below the critical temperature becomes constant and its magnitude increases as a dimension of AdS space increases.

arXiv comment6 pages, 2 figures, typos corrected, version to appear in PLB

References in corpus (20)

• Gauge Theory Correlators from Non-Critical String Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Dirichlet-Branes and Ramond-Ramond Charges
• A Stress Tensor for Anti-de Sitter Gravity
• Lecture Notes on Holographic Renormalization
• QCD and a Holographic Model of Hadrons
• Hard Scattering and Gauge/String Duality
• D-brane Approach to Black Hole Quantum Mechanics
• Holographic Renormalization
• D--branes and Spinning Black Holes
• Entropy and Temperature of Black 3-Branes
• Counting States of Near-Extremal Black Holes
• Entropy of Near-Extremal Black p-branes
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• A Holographic Prediction of the Deconfinement Temperature
• QCD/String holographic mapping and glueball mass spectrum
• Information Content of Spontaneous Symmetry Breaking
• Configurational Entropy can disentangle conventional hadrons from exotica
• Configuration entropy and confinement/deconfinement transiton in holographic QCD
• Configuration entropy in the soft wall AdS/QCD model and the Wien law

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