Severin Bunk
Lorentzian bordisms in algebraic quantum field theory
Bunk, Severin; MacManus, James; Schenkel, Alexander
Authors
Abstract
It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms between Cauchy surfaces arise naturally in the context of algebraic quantum field theory. The underlying functorial field theory encodes the time evolution of the original theory, but not its spatially local structure. As an illustrative application of these results, the algebraic and functorial descriptions of a free scalar quantum field are compared in detail.
Citation
Bunk, S., MacManus, J., & Schenkel, A. (2025). Lorentzian bordisms in algebraic quantum field theory. Letters in Mathematical Physics, 115(1), Article 16. https://doi.org/10.1007/s11005-025-01906-3
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 18, 2025 |
Online Publication Date | Feb 3, 2025 |
Publication Date | Feb 3, 2025 |
Deposit Date | Feb 4, 2025 |
Publicly Available Date | Feb 4, 2025 |
Journal | Letters in Mathematical Physics |
Print ISSN | 0377-9017 |
Electronic ISSN | 1573-0530 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 115 |
Issue | 1 |
Article Number | 16 |
DOI | https://doi.org/10.1007/s11005-025-01906-3 |
Keywords | Algebraic quantum field theory; Functorial field theory; Lorentzian geometry; Bordisms; Pseudo-categories |
Public URL | https://nottingham-repository.worktribe.com/output/45036692 |
Publisher URL | https://link.springer.com/article/10.1007/s11005-025-01906-3 |
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