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

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-$1$ particle in a constant magnetic field, supersymmetric quantum mechanics necessarily requires a gyromagnetic factor $g=2$.

3 pages

References in corpus (5)

• General method of the relativistic Foldy-Wouthuysen transformation and proof of validity of the Foldy-Wouthuysen Hamiltonian
• Exact form of the exponential Foldy-Wouthuysen transformation operator for an arbitrary-spin particle
• High-precision description and new properties of a spin-1 particle in a magnetic field
• Path Integral and Spectral Representations for Supersymmetric Dirac-Hamiltonians
• Review of Physics Results from the Tevatron: Electroweak Physics

Cited by in corpus (1)

• On the electromagnetic interaction and the anomalous term in the Duffin-Kemmer-Petiau theory