Gauge invariance in fractional field theories

被引：41
|
作者：
Herrmann, Richard [1 ]
机构：
[1] GigaHedron, D-63225 Langen, Germany
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 34期
关键词：
perturbation and fractional calculus methods; gauge field theory; hadron mass models and calculations;
D O I：
10.1016/j.physleta.2008.06.063
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页码：5515 / 5522
页数：8
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