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arXiv:quant-ph/0612131 · Physical Review A

Einstein-Podolsky-Rosen correlations of Dirac particles: Quantum field theory approach

Paweł Caban, Jakub Rembieliński

Published Oct 23, 2006• 58 citations
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Abstract

We calculate correlation function in the Einstein-Podolsky-Rosen type of experiment with massive relativistic Dirac particles in the framework of the quantum field theory formalism. We perform our calculations for states which are physically interesting and transform covariantly under the full Lorentz group action---i.e., for pseudoscalar and vector states.

DOI
10.1103/physreva.74.042103

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The formula for the correlation function of spin measurements of two particles in two moving inertial frames is derived within Lorentz-covariant quantum mechanics formulated in the absolute synchronization framework. These results are the first exact Einstein-Podolsky-Rosen correlation functions obtained for Lorentz-covariant quantum-mechanical systems in moving frames under physically acceptable conditions, i.e., taking into account the localization of the particles during the detection and using the spin operator with proper transformation properties under the action of the Lorentz group. Some special cases and approximations of the calculated correlation function are given. The resulting correlation function can be used as a basis for a proposal of a decisive experiment for a possible existence of a quantum-mechanical preferred frame.