Operads for algebraic quantum field theory

  title={Operads for algebraic quantum field theory},
  author={M. Benini and Alexander Schenkel and Lukas Woike},
  journal={arXiv: Mathematical Physics},
We construct a colored operad whose category of algebras is the category of algebraic quantum field theories. This is achieved by a construction that depends on the choice of a category, whose objects provide the operad colors, equipped with an additional structure that we call an orthogonality relation. This allows us to describe different types of quantum field theories, including theories on a fixed Lorentzian manifold, locally covariant theories and also chiral conformal and Euclidean… Expand
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