Science. 1988 May 27;240(4856):1163-8. doi: 10.1126/science.240.4856.1163.
A diverse range of physical phenomena, both observed and hypothetical, are described by topological solutions to nonlinear gauge field theories. Computer-generated color graphic displays can provide a clear and detailed representation of some of these solutions, which might otherwise be physically unintelligible because of their mathematical complexity. Graphical representations are presented here for two topological solutions: (i) the solutions of a model that represents the filaments of quantized magnetic flux in a superconductor, and (ii) the solutions of an SO(3) gauge theory corresponding to a pair of separated magnetic monopoles. An introduction is provided to the gauge field theories giving rise to these solutions.
拓扑解描述了各种物理现象,包括已观测到的和假设的现象,这些物理现象是非线性规范场论的解。计算机生成的彩色图形显示可以为其中的一些解提供清晰而详细的表示,否则由于其数学复杂性,这些解可能在物理上难以理解。这里给出了两个拓扑解的图形表示:(i)表示超导体中量子磁通线的模型的解,以及(ii)对应于一对分离磁单极子的 SO(3)规范理论的解。本文介绍了产生这些解的规范场理论。