Gauge invariance in fractional field theories

The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order o((g) over bar) in the coupling constant (g) over bar. 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 Schrodinger-equation under spatial rotations are investigated and an internal fractional spin is deduced. (C) 2008 Elsevier B.V. All rights reserved.