Relative Cauchy Evolution for Linear Homotopy AQFTs

Bruinsma, Simen; Fewster, Christopher J.; Schenkel, Alexander

Abstract

This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construction is a rectification theorem proving that the homotopy time-slice axiom, which is a higher categorical relaxation of the time-slice axiom of AQFT, can be strictified for theories in this class. The general concept is illustrated through a detailed study of the relative Cauchy evolution for the homotopy AQFT associated with linear Yang-Mills theory, for which the usual stress-energy tensor is recovered.

Citation

Bruinsma, S., Fewster, C. J., & Schenkel, A. (2022). Relative Cauchy Evolution for Linear Homotopy AQFTs. Communications in Mathematical Physics, 392(2), 621-657. https://doi.org/10.1007/s00220-022-04352-7

• Journal Article Type: Article
• Acceptance Date: Feb 17, 2022
• Online Publication Date: Mar 19, 2022
• Publication Date: Mar 19, 2022
• Deposit Date: Mar 22, 2022
• Publicly Available Date: Mar 22, 2022
• Journal: Communications in Mathematical Physics
• Print ISSN: 0010-3616
• Electronic ISSN: 1432-0916
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 392
• Issue: 2
• Pages: 621-657
• DOI: https://doi.org/10.1007/s00220-022-04352-7
• Keywords: Mathematical Physics; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/7643517
• Publisher URL: https://link.springer.com/article/10.1007/s00220-022-04352-7