Algebraic quantum field theory on spacetimes with timelike boundary
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...
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| Format: | Article |
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Springer Verlag
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52126/ |
| _version_ | 1848798653131522048 |
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| author | Benini, Marco Dappiaggi, Claudio Schenkel, Alexander |
| author_facet | Benini, Marco Dappiaggi, Claudio Schenkel, Alexander |
| author_sort | Benini, Marco |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:23:11Z |
| format | Article |
| id | nottingham-52126 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:23:11Z |
| publishDate | 2018 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-521262020-05-04T19:48:48Z https://eprints.nottingham.ac.uk/52126/ Algebraic quantum field theory on spacetimes with timelike boundary Benini, Marco Dappiaggi, Claudio Schenkel, Alexander 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. Springer Verlag 2018-08-31 Article PeerReviewed Benini, Marco, Dappiaggi, Claudio and Schenkel, Alexander (2018) Algebraic quantum field theory on spacetimes with timelike boundary. Annales Henri Poincaré, 19 (8). pp. 2401-2433. ISSN 1424-0661 Algebraic quantum fireld theory; Spacetimes with timelike boundary; Universal constructions; F-locality; Boundary conditions https://link.springer.com/article/10.1007/s00023-018-0687-1 doi:10.1007/s00023-018-0687-1 doi:10.1007/s00023-018-0687-1 |
| spellingShingle | Algebraic quantum fireld theory; Spacetimes with timelike boundary; Universal constructions; F-locality; Boundary conditions Benini, Marco Dappiaggi, Claudio Schenkel, Alexander Algebraic quantum field theory on spacetimes with timelike boundary |
| title | Algebraic quantum field theory on spacetimes with timelike boundary |
| title_full | Algebraic quantum field theory on spacetimes with timelike boundary |
| title_fullStr | Algebraic quantum field theory on spacetimes with timelike boundary |
| title_full_unstemmed | Algebraic quantum field theory on spacetimes with timelike boundary |
| title_short | Algebraic quantum field theory on spacetimes with timelike boundary |
| title_sort | algebraic quantum field theory on spacetimes with timelike boundary |
| topic | Algebraic quantum fireld theory; Spacetimes with timelike boundary; Universal constructions; F-locality; Boundary conditions |
| url | https://eprints.nottingham.ac.uk/52126/ https://eprints.nottingham.ac.uk/52126/ https://eprints.nottingham.ac.uk/52126/ |