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Postulates of quantum field theory. (English) Zbl 0125.21903
Summary: We give a survey of the postulates which provide the framework of quantum field theory. Particular attention is given to the lesser known ones, namely, completeness requirements and “primitive causality.” Three field theoretical models are analyzed. These examples show that “primitive causality” is not a consequence of the commonly used postulates (which include the “causal commutation relations”). “Asymptotic completeness” is not assured by any of the other postulates listed. In the formulation and analysis the concept of operator rings associated with space-time regions is used extensively.

81T05 Axiomatic quantum field theory; operator algebras
Full Text: DOI
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