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 [113]). In a brick-wall calculation the presence of this minimal length will regularize
the entropy as discussed in [27, 225, 210, 154, 156].
http://www.livingreviews.org/lrr-2011-8 |
Living Rev. Relativity 14, (2011), 8
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