Gauge freedom of Dirac theory in complexified spacetime algebra

被引:1
|
作者
Joyce, WP [1 ]
机构
[1] Univ Canterbury, Dept Phys & Astron, Christchurch 1, New Zealand
来源
关键词
D O I
10.1088/0305-4470/35/22/306
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Dirac theory over complexified spacetime algebra leads unavoidably to a U(1) circle times U(1) circle times SU(3) global gauge freedom. We argue the SU(3) freedom corresponds to colour. The U(1) circle times U(1) gauge freedom mixes to give two photon fields responsible for the charge assignments of the standard model. In addition to the usual up/down spin and particle/anti-particle decomposition of the Dirac field, this 16-dimensional field decomposes into a colourless leptonic component and a three-coloured quarkonic component.
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页码:4737 / 4747
页数:11
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