Skip to main content

Research Repository

Advanced Search

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory

Benini, Marco; Musante, Giorgio; Schenkel, Alexander

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory Thumbnail


Authors

Marco Benini

Giorgio Musante



Abstract

We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natural collection of free BV theories on the category of m-dimensional globally hyperbolic Lorentzian manifolds. Our comparison is realized as an explicit isomorphism of time-orderable prefactorization algebras. The key ingredients of our approach are the retarded and advanced Green’s homotopies associated with free BV theories, which generalize retarded and advanced Green’s operators to cochain complexes of linear differential operators.

Citation

Benini, M., Musante, G., & Schenkel, A. (2024). Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory. Letters in Mathematical Physics, 114(1), Article 36. https://doi.org/10.1007/s11005-024-01784-1

Journal Article Type Article
Acceptance Date Feb 8, 2024
Online Publication Date Feb 26, 2024
Publication Date Feb 26, 2024
Deposit Date Feb 27, 2024
Publicly Available Date Feb 27, 2024
Journal Letters in Mathematical Physics
Print ISSN 0377-9017
Electronic ISSN 1573-0530
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 114
Issue 1
Article Number 36
DOI https://doi.org/10.1007/s11005-024-01784-1
Keywords Green hyperbolic operators, 58J45, Factorization algebras, 81T20, Homological methods in gauge theory, Algebraic quantum field theories, Globally hyperbolic Lorentzian manifolds, 81T70
Public URL https://nottingham-repository.worktribe.com/output/31886932
Publisher URL https://link.springer.com/article/10.1007/s11005-024-01784-1
Additional Information Received: 31 July 2023; Revised: 10 January 2024; Accepted: 8 February 2024; First Online: 26 February 2024; : ; : On behalf of all authors, the corresponding author states that there is no conflict of interest.

Files

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory (610 Kb)
PDF

Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access This 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/.





You might also like



Downloadable Citations