On the locality ideal in the algebra of test functions for quantum fields (Q1079788)
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scientific article; zbMATH DE number 3964738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the locality ideal in the algebra of test functions for quantum fields |
scientific article; zbMATH DE number 3964738 |
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On the locality ideal in the algebra of test functions for quantum fields (English)
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1984
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Some basic properties of the locality ideal in Borchers' tensor algebra are established. It is shown that the ideal is a prime ideal and that the corresponding quotient algebra has a faithful Hilbert space representation. A topology is determined for which the positive cone in the quotient algebra is normal, and it is shown that every n-point distribution satisfying the locality condition is a linear combination of positive functionals which also satisfy that condition.
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locality ideal in Borchers' tensor algebra
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prime ideal
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faithful Hilbert space representation
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positive functionals
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