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Smooth 1-dimensional algebraic quantum field theories
Marco Benini, Marco Perin, Alexander Schenkel
This paper proposes a refinement of the usual concept of algebraic quantum field theories (AQFTs) to theories that are smooth in the sense that they assign to every smooth family o…
Categorification of algebraic quantum field theories
Marco Benini, Marco Perin, Alexander Schenkel +1
This paper develops a concept of 2-categorical algebraic quantum field theories (2AQFTs) that assign locally presentable linear categories to spacetimes. It is proven that ordinary…
Linear Yang-Mills theory as a homotopy AQFT
Marco Benini, Simen Bruinsma, Alexander Schenkel
It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein-Gordon and linear Yang-Mills theory on globally hyperbolic Lorentzian manifolds adm…
Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds
Marco Benini, Marco Perin, Alexander Schenkel
This paper investigates the relationship between algebraic quantum field theories and factorization algebras on globally hyperbolic Lorentzian manifolds. Functorial constructions t…
Homotopy theory of algebraic quantum field theories
Marco Benini, Alexander Schenkel, Lukas Woike
Motivated by gauge theory, we develop a general framework for chain complex valued algebraic quantum field theories. Building upon our recent operadic approach to this subject, we…
Models of free quantum field theories on curved backgrounds
Marco Benini, Claudio Dappiaggi
Free quantum field theories on curved backgrounds are discussed via three explicit examples: the real scalar field, the Dirac field and the Proca field. The first step consists of…