Abstract
In this paper we construct an orderpreserving map from the open sets of the Minkowski space into a family of non-commuting projections. This map is naturally associated to quantum field theory in the sense of Araki, Haag, and Kastler. The image contains some of the informations encoded in the manner how the algebra of the smaller domain is imbedded in the algebra of the bigger domain. As an illustrative example we will treat the classification problem of chiral field theories.
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Borchers, H.J. (1993). A Non-commuting Realization of Minkowski Space. In: Araki, H., Ito, K.R., Kishimoto, A., Ojima, I. (eds) Quantum and Non-Commutative Analysis. Mathematical Physics Studies, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2823-2_2
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DOI: https://doi.org/10.1007/978-94-017-2823-2_2
Publisher Name: Springer, Dordrecht
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