关于圆形稳恒电磁流回路的电磁场分布问题的初步讨论

The superficial comments on the EM field of a steady current of dyons in a circle loop

随着超弦理论的发展,人们愈来愈认识到了对偶场论的重要性,尤其是对电磁对偶理论的研究,引起了人们极大的兴趣.本文首先回顾了圆形稳恒电流回路的空间磁场分布,分析了电磁源同时存在下电磁对偶形式的Maxwell方程,并引入了双四维势描述形式,然后在双四维势矢量理论的框架下,具体研究了圆形稳恒电磁流回路的空间电磁场分布规律,在磁源为零情况下,会自动给出通常情况下电磁场理论给出的结果.最后验证了电磁对偶的双四维势电磁场理论具有SO(2)电磁对偶性.

<Abstrcat> With the development of the string theory, more and more attentions have been given to the study of the field theory with duality symmetry, especially the dual electromagnetic (EM) filed theory has caused great interests. In this paper, with the basis of the discussion about the magnetic field in the boundless space of a steady dyon current in a circle loop, we introduced a doublet four-dimensional electromagnetic vector potentials theory, under this formulation, we work out the EM field of a steady current of dyons in a circle loop. We find that in the magnetic source free case, our result will automatically returns to the usual electro-magnetic theory. Finally, we verified that the doublet four dimensional potential electromagnetic theory has obvious SO(2) duality symmetry.