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Localization in algebraic field theory
Authors:John E Roberts
Institution:(1) Fachbereich Physik, Universität Osnabrück, D-4500 Osnabrück, Germany
Abstract:The algebra of observables has two distinct local structures. The first, derived from the localization of measurements, gives rise to an additive net structure. The second, derived from the support properties of infinitestimal operations, gives rise to a sheaf structure. It is also shown how an additive net of field algebras acted on by a compact gauge group of the first kind generates an additive net of observable algebras.
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