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

TY - JOUR

T1 - The split property for quantum field theories in flat and curved spacetimes

AU - Fewster, Christopher John

N1 - © 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.

PY - 2016/9/19

Y1 - 2016/9/19

N2 - 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.

AB - 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.

U2 - 10.1007/s12188-016-0130-9

DO - 10.1007/s12188-016-0130-9

M3 - Article

SN - 0025-5858

VL - 86

SP - 153

EP - 175

JO - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

JF - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

IS - 2

T2 - Jahrestagung der Deutschen Mathematiker-Vereinigung (DMV) 2015

Y2 - 21 September 2015 through 25 September 2015

ER -