Abstract
A class of general quantum field theories without explicit use of fieldsA(x) is defined by a set of postulates for the von Neumann algebras ℜ C of local observables. The vacuum state is cyclic with respect to any ℜ C , and the Borchers tube theorem is shown to hold. Some ℜ C are factors and not of finite type. A property of local observables called strict locality is formulated and expressed by means of a necessary and sufficient condition for the algebras ℜ C . It is proved for finite regions.
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The author wishes to thank Prof. Dr. G.Ludwig for many suggestions and discussions, Mr. P.Rosenthal for a critical reading of the manuscript, and Drs. A. L.Licht and B.Misra for making available their as yet unpublished results. He gratefully acknowledges the financial support from the Deutsche Forschungsgemeinschaft and the European Office of Aerospace Research of the United States Air Force.
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Kraus, K. General quantum field theories and strict locality. Z. Physik 181, 1–12 (1964). https://doi.org/10.1007/BF01383914
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DOI: https://doi.org/10.1007/BF01383914