On entanglement entropy in 't Hooft model

Abstract

We use the replica trick approach to calculate, in the large-N limit, the entanglement c-function in two-dimensional quantum chromodynamics with the gauge group U(N) and quark in the fundamental representation ('t Hooft model). We show explicitly that the result is equal to a sum (with certain numerical coefficients) of entanglement c-functions of free massive scalars, which represent mesons in spectrum of the 't Hooft model. Interestingly, each meson contributes as a point-like particle. We provide an explanation for why this is the case.

v2: discussion and references added

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• On the Shape Dependence of Entanglement Entropy
• Entanglement in massive Schwinger model at finite temperature and density
• Spatial entanglement in two dimensional QCD: Renyi and Ryu-Takayanagi entropies
• 't Hooft suppression and holographic entropy
• Duality between the massive sine-Gordon and the massive Schwinger models at finite temperature