The split property for quantum field theories in flat and curved spacetimes
Mathematical Physics
2016-09-15 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1601.06936,
title = {The split property for quantum field theories in flat and curved spacetimes},
author = {Christopher J. Fewster},
journal= {arXiv preprint arXiv:1601.06936},
year = {2016}
}
Comments
Based on a talk given at the German Mathematical Society annual meeting, Hamburg 2015. Expository article with some new results. v2 Minor changes, typos corrected. Version to appear in Abhandlungen aus dem Mathematischen Seminar der Universit\"at Hamburg