阿贝尔场论中Dirac，Schwinger，Wu-Yang基的不规则性度量及物理学中奇异性容差对规范对称性原理的影响
Measure of irregularity for Dirac, Schwinger, Wu-Yang's bases in the Abelian monopole theory and affecting of the gauge symmetry principle by allowance of singularity in physics
摘要：
在有关单极物质的文献中，狄拉克规范、施温格规范和吴杨规范进行了比较，吴杨规范往往是最可取的规范。本文旨在分析这一观点，通过解释的conventioal傅里叶级数理论的条件下，特别是依赖于狄利克雷定理的情况下，。本文指出，在该理论框架下，这三种情形可以看作是一类非常特殊甚至相当简单的问题：对于在区间[0，pi]上给定的函数，所有三种情形实际上都是同一个一维问题，它们只有一个间断点，这三个间断点的位置不同。讨论了在物理学中允许的任何奇异势，如高斯势，是如何体现物理规范原理本身的本质的。
英文摘要：
In the literature concerning the monopole matter, three gauges: Dirac, Schwinger, and Wu-Yang's, have been contrasted to each other, and the Wu-Yang's often appears as the most preferable one. The article aims to analyse this view by interpreting the monopole situation in terms of the conventioal Fourier series theory; in particular, having relied on the Dirichlet theorem. It is shown that the monopole case can be labelled as a very spesific and even rather simple class of problems in the frame of that theory: all the three monopole gauges amount to practicaly the same one-dimentional problem for functions given on the interval [0,pi] having a single point of discontinuity; these three vary only in its location.In addition, some general aspects of the Aharonov-Bohm effect are discussed; the way of how any singular potentials such as monopole's, being allowed in physics, touche the essence of the physical gauge principle itself is considered.
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