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arxiv: math-ph/0409070 · v3 · submitted 2004-09-25 · 🧮 math-ph · math.MP

Phase space properties and the short distance structure in quantum field theory

classification 🧮 math-ph math.MP
keywords fieldphasespacetheoryquantumstructurealgebrasallows
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The paper investigates relations between the phase space structure of a quantum field theory ("nuclearity") and the concept of pointlike localized fields. Given a net of local observable algebras, a phase space condition is introduced that allows a very detailed description of the theory's field content. An appendix discusses noninteracting models as examples.

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