Entanglement Entropy in a Non-Conformal Background

Abstract

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

5 pages, 3 figures, published version

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• On Volume Subregion Complexity in Non-Conformal Theories
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Meson Potential Energy in a Non-Conformal Holographic Model
• Non-Conformal Behavior of Holographic Entanglement Measures
• Holographic drag force in non-conformal plasma
• Holographic Mutual and Tripartite Information in a Non-Conformal Background