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The split property for quantum field theories in flat and curved spacetimes

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JournalAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg
DateSubmitted - 31 Dec 2015
DateAccepted/In press - 3 Mar 2016
DatePublished (current) - 19 Sep 2016
Issue number2
Volume86
Number of pages23
Pages (from-to)153-175
Original languageEnglish

Abstract

The split property expresses a strong form of independence of spacelike separated regions in algebraic quantum field theory. In Minkowski spacetime, it can be proved under hypotheses of nuclearity. An expository account is given of nuclearity and the split property, and connections are drawn to the theory of quantum energy inequalities. In addition, a recent proof of the split property for quantum field theory in curved spacetimes is outlined, emphasising the essential ideas.

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© 2016, Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg. This is an author-produced version of a paper accepted for publication. Uploaded with permission of the publisher/copyright holder. Further copying may not be permitted; contact the publisher for details.

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