Gauge invariance in fractional field theories

Details Gauge invariance in fractional field theories Gauge invariance in fractional field theories

2007-08-16

arxiv.org/abs/0708.2262v2

Phys.Lett.A372:5515-5522,2008

Physics

Mathematical Physics

remarks on fractional spin added, references added, in press Phys.Lett.A

Scientific paper

10.1016/j.physleta.2008.06.063

The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$. 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 Schr\"odinger-equation under spatial rotations are investigated and an internal fractional spin is deduced.

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