Dimensional reduction from entanglement in Minkowski space

Ram Brustein, Amos Yarom

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Using a quantum field theoretic setting, we present evidence for dimensional reduction of any sub-volume of Minkowksi space. First, we show that correlation functions of a class of operators restricted to a sub-volume of D-dimensional Minkowski space scale as its surface area. A simple example of such area scaling is provided by the energy fluctuations of a free massless quantum field in its vacuum state. This is reminiscent of area scaling of entanglement entropy but applies to quantum expectation values in a pure state, rather than to statistical averages over a mixed state. We then show, in a specific case, that fluctuations in the bulk have a lower-dimensional representation in terms of a boundary theory at high temperature.

Original languageEnglish
Pages (from-to)1065-1074
Number of pages10
JournalJournal of High Energy Physics
Issue number1
StatePublished - 1 Jan 2005


  • Black Holes
  • Renormalization Regularization and Renormalons
  • Statistical Methods

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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