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Advances in High Energy Physics
Volume 2014, Article ID 572180, 12 pages
http://dx.doi.org/10.1155/2014/572180
Research Article

Anomalous -Factors for Charged Leptons in a Fractional Coarse-Grained Approach

1Universidade Federal Rural do Rio de Janeiro, UFRRJ-IM/DTL, Avenida Governador Roberto Silveira s/n, 695014 Nova Iguaçú, RJ, Brazil
2Centro Brasileiro de Pesquisas Físicas-CBPF, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

Received 20 March 2014; Accepted 4 May 2014; Published 25 May 2014

Academic Editor: Kingman Cheung

Copyright © 2014 J. Weberszpil and J. A. Helayël-Neto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We here propose to extend the concept of helicity to include it in a fractional scenario and we write down the left- and the right-handed Weyl equations from first principles in this extended framework. Next, by coupling the different fractional Weyl sectors by means of a mass parameter, we arrive at the fractional version of Dirac's equation which, whenever coupled to an external electromagnetic field and reduced to the nonrelativistic regime, yields a fractional Pauli-type equation. From the latter, we are able to present an explicit expression for the gyromagnetic ratio of charged fermions in terms of the fractionality parameter. We then focus our efforts to relate the coarse-grained property of space-time to fractionality and to the ( ) anomalies of the different leptonic species.