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

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.

Metadata

Item Type:	Article
Authors/Creators:	Fewster, Christopher John https://orcid.org/0000-0001-8915-5321
Copyright, Publisher and Additional Information:	© 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.
Dates:	Published: 19 September 2016 Accepted: 3 March 2016 Submitted: 31 December 2015
Institution:	The University of York
Academic Units:	The University of York > Faculty of Sciences (York) > Mathematics (York)
Depositing User:	Pure (York)
Date Deposited:	20 Sep 2016 15:27
Last Modified:	16 Oct 2024 12:54
Published Version:	https://doi.org/10.1007/s12188-016-0130-9
Status:	Published
Refereed:	Yes
Identification Number:	10.1007/s12188-016-0130-9
Related URLs:	http://arxiv.org/abs/1601.06936
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:105003

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

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