A holographic calculation of the entanglement entropy in non-commutative Yang–Mills theory was considered in [13, 14]. This calculation for a strip of width shows that for large values of compared to some characteristic length , where is the parameter of non-commutativity and is the ’t Hooft coupling, then the short-distance contribution to the entanglement entropy shows an area law of the form
The other related idea is to consider models in which the Heisenberg uncertainty relation is modified as , which shows that there exists a minimal length (for a review on the models of this type see ). In a brick-wall calculation the presence of this minimal length will regularize the entropy as discussed in [27, 225, 210, 154, 156].
Living Rev. Relativity 14, (2011), 8
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