Spin-1/2 Maxwell fields

被引:14
|
作者
Armour, RS [1 ]
机构
[1] Mercer Univ, Dept Phys, Macon, GA 31207 USA
关键词
covariance of Maxwell's equations; spin-1/2 representations of the Lorentz group;
D O I
10.1023/B:FOOP.0000022188.90097.10
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Requiring covariance of Maxwell's equations without a priori imposing charge invariance allows for both spin-1 and spin-1/2 transformations of the complete Maxwell field and current. The spin-1/2 case yields new transformation rules, with new invariants, for all traditional Maxwell field and source quantities. The accompanying spin-1/2 representations of the Lorentz group employ the Minkowski metric, and consequently the primary spin-1/2 Maxwell invariants are also spin-1 invariants; for example, Phi(2)- A(2), E(2)- B(2)+ 2iE.B-(partial derivative(0)Phi + V.A)(2). The associated Maxwell Lagrangian density is also the same for both spin-1 and spin-1/2 fields. However, in the spin-1/2 case, standard field and source quantities are complex and both charge and gauge invariance are lost. Requiring the potentials to satisfy the Klein-Gordon equation equates the Maxwell and field-potential equations with two Dirac equations of the Klein-Gordon mass, and thus one complex Klein-Gordon Maxwell field describes either two real vector fields or two Dirac fields, all of the same mass.
引用
收藏
页码:815 / 842
页数:28
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