Entanglement and open systems in algebraic quantum field theory

Rob Clifton

Published Sep 23, 2009• 9 citations

Abstract

Abstract despite its conservative way of dealing with physical principles, algebraic QFT leads to a radical change of paradigm. Instead of the Newtonian view of a spacetime filled with a material content one enters the reality of Leibniz created by relation (in particular inclusions) between ‘monads’ (~ the hyperfinite type III1 local van Neumann factors A( 0) which as single algebras are nearly void of physical meaning). The authors are extremely grateful to Paul Busch (for helpful discussions about operations), Jeremy Butterfield (for helping us to clarify our critique of Red head’s discussion of the operational implications of cyclicity), Reinhard Werner (for filling in for us the argument for Eqn (10)), Fred Kronz (for urging us to include the final two sentences of note 1), Michael Redhead (for reminding us of the facts cited in note 14), and an anonymous referee (for prompting our inclusion of note 4). R. K. C. also wishes to thank All Souls College, Oxford for support under a Visiting Fellowship.

DOI: 10.1093/oso/9780199270156.003.0007

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