Gauge invariance in fractional field theories
arXiv:0708.2262 · doi:10.1016/j.physleta.2008.06.063
Abstract
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order in the coupling constant . As a first application, based on the Riemann-Liouville fractional derivative definition, the fractional Zeeman effect is used to reproduce the baryon spectrum accurately. The transformation properties of the non relativistic fractional Schrödinger-equation under spatial rotations are investigated and an internal fractional spin is deduced.
remarks on fractional spin added, references added, in press Phys.Lett.A