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

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.

arXiv comment24 pages, 3 figures - Final version to appear in Communications in Mathematical Physics

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Cited by in corpus (6)

• Snowmass White Paper: The Quest to Define QFT
• A skeletal model for 2d conformal AQFTs
• Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds
• Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
• On the equivalence of AQFTs and prefactorization algebras
• Lorentzian bordisms in algebraic quantum field theory