Holographic Entanglement Entropy and Confinement

Abstract

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the critical width for models with several parameters. For these models, the critical width, the glueball mass and the string tension all become functions of these two parameters. Comparing the behavior of the critical width in the entanglement entropy and these other scales, we find that $l_c$ seems to follow closely the deconfinement temperature and the glueball mass. The behavior of the string tension is similar to $l_c$, despite of being parametrically smaller than the other quantities.

19 pages, 4 figures. v2: references added

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• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Entanglement and confinement in lattice gauge theory tensor networks
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Comments on the T-dual of the gravity dual of D5-branes on $S^3$
• Non-perturbative Aspects of Quantum Field Theories from Holography