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On entanglement entropy in 't Hooft model

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arxiv 1501.07590 v2 pith:TTCCZUUC submitted 2015-01-29 hep-th

On entanglement entropy in 't Hooft model

classification hep-th
keywords entanglementhooftmodelapproachc-functionc-functionscalculatecase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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