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Bell Correlations in Quantum Field Theory

Thiang, Guo Chuan (2011) Bell Correlations in Quantum Field Theory. [Preprint]

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    Abstract

    Bell correlations are the hallmark of quantum non-locality, and a rich context for analysing them is provided by the algebraic approach to quantum field theory (AQFT): the basic idea is to associate with each bounded region O of Minkowski spacetime an algebra A(O) of operators, of which a self-adjoint element P ∈ A(O) represents a physical quantity pertaining to that part of the field system lying in O, that is measurable by a procedure confined to O. The violation of Bell inequalities in AQFT is known to be "generic", as regards the choices of regions O, and of quantities P, and of states. Furthermore, they are typically "maximal" and "indestructible" in a sense that can be made mathematically precise. The prospects for “peaceful coexistence” between quantum non-locality and relativity theory’s requirement of no action-at-a-distance are also explored. The purpose of this Essay is to review the developments in these areas.


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    Item Type: Preprint
    Additional Information: This essay was submitted as part of the required work for the Masters Level course, Part III, in the Department of Applied Mathematics and Theoretical Physics, Cambridge University, May 2011.
    Keywords: Algebraic quantum field theory, Bell correlation, relativistic causality
    Subjects: Specific Sciences > Physics > Quantum Field Theory
    Specific Sciences > Physics > Relativity Theory
    Depositing User: Mr. Guo Chuan Thiang
    Date Deposited: 30 Jun 2011 07:35
    Last Modified: 30 Jun 2011 07:35
    Item ID: 8689
    URI: http://philsci-archive.pitt.edu/id/eprint/8689

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