English

Supersymmetric quantum mechanics requires $g=2$ for vector bosons

High Energy Physics - Theory 2020-06-01 v2 Mathematical Physics math.MP

Abstract

Relativistic arbitrary spin Hamiltonians are shown to obey the algebraic structure of supersymmetric quantum system if their odd and even parts commute. This condition is identical to that required for the exactness of the Foldy-Wouthuysen transformation. Applied to a massive charged spin-11 particle in a constant magnetic field, supersymmetric quantum mechanics necessarily requires a gyromagnetic factor g=2g=2.

Keywords

Cite

@article{arxiv.2003.11377,
  title  = {Supersymmetric quantum mechanics requires $g=2$ for vector bosons},
  author = {Georg Junker},
  journal= {arXiv preprint arXiv:2003.11377},
  year   = {2020}
}

Comments

3 pages

R2 v1 2026-06-23T14:26:46.633Z