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

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arxiv 1903.03396 v2 pith:I7VI2VRQ submitted 2019-03-08 math-ph hep-thmath.CTmath.DGmath.MP

Marco Benini , Marco Perin , Alexander Schenkel This is my paper · ORCID
classification math-phhep-thmath.CTmath.DGmath.MP
keywords algebraicalgebrasfieldquantumtheoriesadditivecauchyconstant
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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.

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  1. An equivalence theorem for algebraic and functorial QFT

    math-ph 2025-04 conditional novelty 8.0 of 10

    A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.

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