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 $o(\bar{g})$ 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 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

References in corpus (1)

• The fractional symmetric rigid rotor

Cited by in corpus (6)

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• The Lagrangian for mass dimension one fermionic dark matter
• Propagation dynamics of abruptly autofocusing circular Airy-Gaussian vortex beams in the fractional Schrödinger equation
• Fractional quantum numbers deduced from experimental ground state meson spectra