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On local functions of fields

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Abstract

Properties of local functions of fields are discussed. A condition, called the Borchers condition, is introduced which is weaker than duality but allows the construction of a maximal local extension of a system of local algebras. This extension will satisfy duality. The local structure of the generalized free field is studied, and it is shown that duality does not hold for the local algebras associated with certain generalized free fields, whereas the Borchers condition is satisfied for all generalized free fields. The appendix contains an elementary proof of duality for the free field.

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Authors and Affiliations

  1. Department of Physics, Princeton University, Princeton, New Jersey, USA

    Lawrence J. Landau

  2. Institut de Physique Théorique, Université de Louvain, Chemin du Cyclotron, 2, B-1348, Louvain-La-Neuve, Belgium

    Lawrence J. Landau

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  1. Lawrence J. Landau
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Communicated by R. Haag

Research partially supported by AFOSR under Contract F 44620-71-C-0108.

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Landau, L.J. On local functions of fields. Commun.Math. Phys. 39, 49–62 (1974). https://doi.org/10.1007/BF01609170

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