dorsal/arxiv
View SchemaMeasure 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
| Authors | V M Red'kov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812008 |
| URL | https://arxiv.org/abs/quant-ph/9812008 |
| Journal | Nonlin.Phenom.Complex Syst. 5:95-107,2002 |
Abstract
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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"abstract": "In the literature concerning the monopole matter, three gauges: Dirac,\nSchwinger, and Wu-Yang\u0027s, have been contrasted to each other, and the Wu-Yang\u0027s\noften appears as the most preferable one. The article aims to analyse this view\nby interpreting the monopole situation in terms of the conventioal Fourier\nseries theory; in particular, having relied on the Dirichlet theorem. It is\nshown that the monopole case can be labelled as a very spesific and even rather\nsimple class of problems in the frame of that theory: all the three monopole\ngauges amount to practicaly the same one-dimentional problem for functions\ngiven on the interval [0,pi] having a single point of discontinuity; these\nthree vary only in its location.In addition, some general aspects of the\nAharonov-Bohm effect are discussed; the way of how any singular potentials such\nas monopole\u0027s, being allowed in physics, touche the essence of the physical\ngauge principle itself is considered.",
"arxiv_id": "quant-ph/9812008",
"authors": [
"V M Red\u0027kov"
],
"categories": [
"quant-ph"
],
"journal_ref": "Nonlin.Phenom.Complex Syst. 5:95-107,2002",
"title": "Measure of irregularity for Dirac, Schwinger, Wu-Yang\u0027s bases in the Abelian monopole theory and affecting of the gauge symmetry principle by allowance of singularity in physics",
"url": "https://arxiv.org/abs/quant-ph/9812008"
},
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