Abstract
We want to construct, for every local irreducible quantum field theory which fulfils the spectrum condition, a new theory with the properties:
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1)
It is physically equivalent to the given theory (in the sense ofHaag andKastler).
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2)
The representation space contains a vacuum state.
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3)
The new theory satisfies the spectrum condition.
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4)
For every bounded region\(\mathcal{O}\) the two representations of the algebra\(\mathfrak{A}(\mathcal{O})\) are unitarily equivalent.
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5)
The new theory is uniquely characterized by the properties 1)–4).
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Borchers, H.J. On the vacuum state in quantum field theory. II. Commun.Math. Phys. 1, 57–79 (1965). https://doi.org/10.1007/BF01649590
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DOI: https://doi.org/10.1007/BF01649590