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Strictification theorems for the homotopy time-slice axiom

Benini, Marco; Carmona, Victor; Schenkel, Alexander

Strictification theorems for the homotopy time-slice axiom Thumbnail


Authors

Marco Benini

Victor Carmona



Abstract

It is proven that the homotopy time-slice axiom for many types of algebraic quantum field theories (AQFTs) taking values in chain complexes can be strictified. This includes the cases of Haag–Kastler-type AQFTs on a fixed globally hyperbolic Lorentzian manifold (with or without time-like boundary), locally covariant conformal AQFTs in two spacetime dimensions, locally covariant AQFTs in one spacetime dimension, and the relative Cauchy evolution. The strictification theorems established in this paper prove that, under suitable hypotheses that hold true for the examples listed above, there exists a Quillen equivalence between the model category of AQFTs satisfying the homotopy time-slice axiom and the model category of AQFTs satisfying the usual strict time-slice axiom.

Citation

Benini, M., Carmona, V., & Schenkel, A. (2023). Strictification theorems for the homotopy time-slice axiom. Letters in Mathematical Physics, 113(1), Article 20. https://doi.org/10.1007/s11005-023-01647-1

Journal Article Type Article
Acceptance Date Jan 31, 2023
Online Publication Date Feb 13, 2023
Publication Date Feb 13, 2023
Deposit Date Feb 14, 2023
Publicly Available Date Mar 29, 2024
Journal Letters in Mathematical Physics
Print ISSN 0377-9017
Electronic ISSN 1573-0530
Publisher Springer Science and Business Media LLC
Peer Reviewed Peer Reviewed
Volume 113
Issue 1
Article Number 20
DOI https://doi.org/10.1007/s11005-023-01647-1
Keywords Article, Algebraic quantum field theory, Gauge theory, Homotopical algebra, Chain complexes, Operads, Localizations, 81T05, 81T70, 18N40, 18N55
Public URL https://nottingham-repository.worktribe.com/output/17377591
Publisher URL https://link.springer.com/article/10.1007/s11005-023-01647-1

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https://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.




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