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

Marco Benini, Marco Perin, Alexander Schenkel
March 08, 2019
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.
open access link
@article{Benini:2019ujs, author = "Benini, Marco and Perin, Marco and Schenkel, Alexander", title = "{Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds}", year = "2019", eprint = "1903.03396", archivePrefix = "arXiv", primaryClass = "math-ph", reportNumber = "ZMP-HH/19-6, Hamburger Beitraege zur Mathematik Nr. 781", SLACcitation = "%%CITATION = ARXIV:1903.03396;%%" }

Keywords: 
algebraic quantum field theory, factorization algebras, Lorentzian geometry