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

DOI10.1007/S00220-019-03561-XzbMath1442.81054arXiv1903.03396OpenAlexW3105942305WikidataQ127287549 ScholiaQ127287549MaRDI QIDQ2191167

Alexander Schenkel, Marco Benini, Marco Perin

Publication date: 24 June 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03396

Mathematics Subject Classification ID

Wave equation (35L05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Quantum field theory on curved space or space-time backgrounds (81T20) Methods of quantum field theory in general relativity and gravitational theory (83C47) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Operator algebra methods applied to problems in quantum theory (81R15) Classification of factors (46L36)

Related Items (8)

On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary ⋮ A skeletal model for \(2\mathrm{d}\) conformal AQFTs ⋮ Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory ⋮ General covariance from the viewpoint of stacks ⋮ New model category structures for algebraic quantum field theory ⋮ Intertwining operators for symmetric hyperbolic systems on globally hyperbolic manifolds ⋮ Operads for algebraic quantum field theory ⋮ The algebra of Wick polynomials of a scalar field on a Riemannian manifold

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