论文标题
电磁主义的零源代表和电荷的保护
A zero-curvature representation of electromagnetism and the conservation of electric charge
论文作者
论文摘要
我们表明，$（d+1）$ - 尺寸Minkowski时空$ \ Mathcal {M} $的电磁法定律，明确表示$ d = 1 $，$ 2 $和$ 3 $，可以从相应的环形空间的零折痕方程中的整体表示中获得$ \ MATHCAL {L}^{（D-1）}（\ Mathcal {M}）$。电荷的保护可以看作是在动态方程式表示中隐藏对称性的结果。
We show that the laws of electromagnetism in $(D+1)$-dimensional Minkowski space-time $\mathcal{M}$, explicitly for $D=1$, $2$ and $3$, can be obtained from an integral representation of the zero-curvature equation in the corresponding loop space $\mathcal{L}^{(D-1)}(\mathcal{M})$. The conservation of the electric charge can be seen as the result of a hidden symmetry in this representation of the dynamical equations.
