On Bell's inequalities and algebraic invariants |
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Authors: | Stephen J. Summers and Reinhard F. Werner |
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Affiliation: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, FL, USA;(2) Fachbereich Physik, Universität Osnabrück, D-49069 Osnabrück, Germany |
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Abstract: | Some algebraic invariants associated with Bell's inequalities are defined for inclusions of von Neumann algebras and studied within the context of general algebraic quantum theory. More special results are proven for quantum field theory which establish that these invariants take infinitely many values. Sharp short-distance bounds on the Bell correlations are also demonstrated in the context of relativistic quantum field theory. |
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Keywords: | 81T05 46L37 |
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