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How local are local operations in local quantum field theory?

Rédei, Miklós and Valente, Giovanni (2010) How local are local operations in local quantum field theory? Studies in the History and Philosophy of Modern Physics, 41 (4). pp. 346-353. ISSN 1355-2198

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Identification Number: 10.1016/j.shpsb.2010.09.001


A notion called operational C*-separability of local C*-algebras (A(V-1) and A(V-2)) associated with spacelike separated spacetime regions V-1 and V-2 in a net of local observable algebras satisfying the standard axioms of local, algebraic relativistic quantum field theory is defined in terms of operations (completely positive unit preserving linear maps) on the local algebras A(V-1) and A(V-2). Operational C*-separability is interpreted as a "no-signaling" condition formulated for general operations, for which a straightforward no-signaling theorem is shown not to hold. By linking operational C*-separability of (A(V-1),A(V-2)) to the recently introduced (Redei & Summers, forthcoming) operational C*-independence of (A(V-1),A(V-2)) it is shown that operational C*-separability typically holds for the pair (A(V-1),A(V-2)) if V-1 and V-2 are strictly spacelike separated double cone regions. The status in local, algebraic relativistic quantum field theory of a natural strengthening of operational C*-separability, i.e. operational W*-separability, is discussed and open problems about the relation of operational separability and operational independence are formulated.

Item Type: Article
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Additional Information: © Elsevier Ltd.
Subjects: Q Science > QC Physics
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 22 Mar 2011 13:54
Last Modified: 06 Sep 2012 13:01

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