Feynman-Stueckelberg electroweak interactions and isospin entanglement
Abstract
Entanglement in Quantum Field Theory is restricted to spacelike separations to the order of the Compton wavelength (e.g., S. J. Summers and R. Werner, {\it J. Math. Phys.}, {\bf 28}, 10,2440-2447, (1987)). Yet spin entanglement of electrons across macroscopic distances has been observed by Hensen { \it et al.} ({\it Nature}, {\bf 526}, doi:10.1038/nature/15759, (2015)). The parametrized relativistic quantum mechanics of Feynman and Stueckelberg admits spin singlets, across arbitrary separations, by providing a single covariant wave equation for tensor products of two Dirac spinors (A. F. Bennett, {\it Ann. Phys.} {\bf 345}, 1-16 (2014)). The formalism is extended here from quantum electrodynamics to the electroweak interaction. A relativistic Bell's inequality for Dirac spinors is extended here to weak isospin.
Cite
@article{arxiv.1808.09798,
title = {Feynman-Stueckelberg electroweak interactions and isospin entanglement},
author = {A. F. Bennett},
journal= {arXiv preprint arXiv:1808.09798},
year = {2023}
}