Gauge invariance in fractional field theories
Abstract
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order o(g) in the coupling constant 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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