Algebraic quantum field theory on spacetimes with timelike boundary

Benini, Marco; Dappiaggi, Claudio; Schenkel, Alexander

Abstract

We analyze quantum field theories on spacetimes M with timelike boundary from a model independent perspective. We construct an adjunction which describes a universal extension to the whole spacetime M of theories defined only on the interior intM. The unit of this adjunction is a natural isomorphism, which implies that our universal extension satisfies Kay's F-locality property. Our main result is the following characterization theorem: Every quantum field theory on M that is additive from the interior (i.e. generated by observables localized in the interior) admits a presentation by a quantum field theory on the interior intM and an ideal of its universal extension that is trivial on the interior. We shall illustrate our constructions by applying them to the free Klein-Gordon field.

Citation

Benini, M., Dappiaggi, C., & Schenkel, A. (2018). Algebraic quantum field theory on spacetimes with timelike boundary. Annales Henri Poincaré, 19(8), 2401-2433. https://doi.org/10.1007/s00023-018-0687-1

• Journal Article Type: Article
• Acceptance Date: May 3, 2018
• Online Publication Date: May 30, 2018
• Publication Date: 2018-08
• Deposit Date: May 31, 2018
• Publicly Available Date: May 31, 2018
• Journal: Annales Henri Poincaré
• Print ISSN: 1424-0637
• Electronic ISSN: 1424-0661
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 8
• Pages: 2401-2433
• DOI: https://doi.org/10.1007/s00023-018-0687-1
• Keywords: Algebraic quantum fireld theory; Spacetimes with timelike boundary; Universal constructions; F-locality; Boundary conditions
• Public URL: https://nottingham-repository.worktribe.com/output/949629
• Publisher URL: https://link.springer.com/article/10.1007/s00023-018-0687-1