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• W2061278464 abstract "To investigate local properties of the fields that are not strictly localizable we associate a topology τO on the test function space to each space-time region O. Conditions are found which the family of topologies τO must satisfy in order that the concept of causality can be introduced into the theory. It is considered how the main properties of the Wightman functionals change when we pass to test function spaces which have less-pronounced local properties. It is shown, in particular, that the fields with exponential momentum-space growth like exp(l‖p‖) are localizable only in space-time regions large in comparison with l. This happens because not any domain in the space of several complex variables is a domain of holomorphy. A simple method for deriving Ruelle's cluster property is proposed, which is applicable to nonlocalizable fields as well as to localizable ones. Making use of this property, we prove polynomial energy boundedness of the elastic scattering amplitude in nonlocalizable theories." @default.
• W2061278464 created "2016-06-24" @default.
• W2061278464 creator A5012917683 @default.
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• W2061278464 date "1978-08-01" @default.
• W2061278464 modified "2023-10-17" @default.
• W2061278464 title "How can local properties be described in field theories without strict locality?" @default.
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• W2061278464 doi "https://doi.org/10.1016/0003-4916(78)90211-7" @default.
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