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

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.

Keywords:

algebraic quantum field theory, factorization algebras, Lorentzian geometry