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  • A Dirac sea pilot-wave model for quantum field theory

    Author(s)
    Colin, S
    Struyve, W
    Griffith University Author(s)
    Colin, Samuel
    Year published
    2007
    Metadata
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    Abstract
    We present a pilot-wave model for quantum field theory in which the Dirac sea is taken seriously. The model ascribes particle trajectories to all the fermions, including the fermions filling the Dirac sea. The model is deterministic and applies to the regime in which fermion number is superselected. This work is a further elaboration of work by Colin, in which a Dirac sea pilot-wave model is presented for quantum electrodynamics. We extend his work to nonelectromagnetic interactions, we discuss a cut-off regularization of the pilotwave model and study howit reproduces the standard quantum predictions. The Dirac sea ...
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    We present a pilot-wave model for quantum field theory in which the Dirac sea is taken seriously. The model ascribes particle trajectories to all the fermions, including the fermions filling the Dirac sea. The model is deterministic and applies to the regime in which fermion number is superselected. This work is a further elaboration of work by Colin, in which a Dirac sea pilot-wave model is presented for quantum electrodynamics. We extend his work to nonelectromagnetic interactions, we discuss a cut-off regularization of the pilotwave model and study howit reproduces the standard quantum predictions. The Dirac sea pilot-wave model can be seen as a possible continuum generalization of a lattice model by Bell. It can also be seen as a development and generalization of the ideas by Bohm, Hiley and Kaloyerou, who also suggested the use of the Dirac sea for the development of a pilot-wave model for quantum electrodynamics.
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    Journal Title
    Journal of Physics A: Mathematical and Theoretical
    Volume
    40
    DOI
    https://doi.org/10.1088/1751-8113/40/26/015
    Subject
    Field Theory and String Theory
    Quantum Physics not elsewhere classified
    Mathematical Sciences
    Physical Sciences
    Publication URI
    http://hdl.handle.net/10072/32523
    Collection
    • Journal articles

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