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The connexion of duality and causal properties for generalized free fields

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Abstract

It is shown that the time-slice axiom and the diamond property are equivalent for the generalized free field. If, in addition, there is a mass gap, duality is equivalent to either causality requirement. It is further shown that the local rings associated with certain space-time regions are factors in the case of causal generalized free fields with mass gap. Necessary and sufficient conditions for causality and duality and some examples for causal and acausal generalized free fields are also given.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, Göttingen, Germany

    Wolf-Dieter Garber

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  1. Wolf-Dieter Garber
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Communicated by H. Araki

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Garber, WD. The connexion of duality and causal properties for generalized free fields. Commun.Math. Phys. 42, 195–208 (1975). https://doi.org/10.1007/BF01608972

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  • DOI: https://doi.org/10.1007/BF01608972

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