Skip to main content
Article thumbnail
Location of Repository

How local are local operations in local quantum field theory?

By Miklós Rédei and Giovanni Valente

Abstract

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

Topics: QC Physics
Publisher: Elsevier
Year: 2010
DOI identifier: 10.1016/j.shpsb.2010.09.001
OAI identifier: oai:eprints.lse.ac.uk:33454
Provided by: LSE Research Online
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.elsevier.com/wps/fi... (external link)
  • http://eprints.lse.ac.uk/33454... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.