Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds

Benini, Marco; Perin, Marco; Schenkel, Alexander

Abstract

This paper investigates the relationship between algebraic quantum field theories and factorization algebras on globally hyperbolic Lorentzian manifolds. Functorial constructions that map between these two types of theories in both directions are developed under certain natural hypotheses, including suitable variants of the local constancy and descent axioms. The main result is an equivalence theorem between (Cauchy constant and additive) algebraic quantum field theories and (Cauchy constant, additive and time-orderable) prefactorization algebras.

Citation

Benini, M., Perin, M., & Schenkel, A. (2020). Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds. Communications in Mathematical Physics, 377(2), 971-997. https://doi.org/10.1007/s00220-019-03561-x

• Journal Article Type: Article
• Acceptance Date: Jul 17, 2019
• Online Publication Date: Sep 5, 2019
• Publication Date: Jul 1, 2020
• Deposit Date: Aug 29, 2019
• Publicly Available Date: Sep 12, 2019
• Journal: Communications in Mathematical Physics
• Print ISSN: 0010-3616
• Electronic ISSN: 1432-0916
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 377
• Issue: 2
• Pages: 971-997
• DOI: https://doi.org/10.1007/s00220-019-03561-x
• Keywords: Mathematical Physics; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/2460422
• Publisher URL: https://link.springer.com/article/10.1007/s00220-019-03561-x
• Additional Information: Received: 18 March 2019; Accepted: 17 July 2019; First Online: 5 September 2019; Published in print in Volume 377, Issue 2, July 2020