Dirac/Rarita-Schwinger plus Maxwell theories in $\mathbb{R} \times S^3$ spacetime in the Hopf coordinates

Vladimir Dzhunushaliev; Vladimir Folomeev

Dirac/Rarita-Schwinger plus Maxwell theories in mathbb{R} times S³ spacetime in the Hopf coordinates

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2008.01076 v2 pith:DIHREJIQ submitted 2020-08-03 hep-th hep-ph

Dirac/Rarita-Schwinger plus Maxwell theories in mathbb{R} times S³ spacetime in the Hopf coordinates

Vladimir Dzhunushaliev , Vladimir Folomeev This is my paper

classification hep-th hep-ph

keywords hopfcoordinatesdiracequationsmathbbspacetimetimesallow

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We consider the sets of Dirac-Maxwell and Rarita-Schwinger-Maxwell equations in $\mathbb{R} \times S^3$ spacetime. Using the Hopf coordinates, we show that these equations allow separation of variables and obtain the corresponding analytic and numerical solutions. It is also demonstrated that the current of the Dirac field is related to the Hopf invariant on the $S^3 \rightarrow S^2$ fibration.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Causality constraints and anisotropic states
hep-th 2025-12 conditional novelty 7.0

In anisotropic relativistic fluids, branch-point dispersion relations force a continuum of complex-wavevector mode collisions, and causality bounds the convergence radius direction-by-direction in terms of transport c...