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arXiv · 1804.11160

Local bosonization of massive fermions in three spatial dimensions with rotation invariance

Adam Bednorz
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Abstract

In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac spin $1/2$ operators can be emergent in a fully commuting field theory forming directed strings and loops of spin 0 and 1 constituents, reproducing massive Dirac dynamics with background fields. Such underlying description may violate relativistic invariance but there are no manifest interactions at a distance and rotation symmetry remains preserved. We show that under some constraints on the model there exists a well-defined ground state -- Fermi sea that it is stable -- fermions cannot convert to bosons.

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Adam Bednorz. 2018-04-30. Local bosonization of massive fermions in three spatial dimensions with rotation invariance. https://doi.org/10.1103/physrevd.98.036012

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