On local functions of fields
L. J. Landau
Nov 1, 1974
Citations
25
Citations
Journal
Communications in Mathematical Physics
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Key Takeaway Key Takeaway: The Borchers condition is satisfied for all generalized free fields, while duality does not hold for certain local algebras associated with certain fields.
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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