On the gauge transformation for the rotation of the singular string in the Dirac monopole theory
| Autor: | Pan, Xiao-Yin, Chen, Yin, Li, Yu-Qi, Kogan, Aaron G., Wu, Juhao |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X21500196 |
| Popis: | In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along certain direction - the so called Dirac string. Imposing the famous quantization condition, the singular string attached to the monopole can be rotated arbitrarily by a gauge transformation, and hence is not physically observable. By deriving its analytical expression and analyzing its properties, we show that the gauge function $\chi({\bf r})$ which rotates the string to another one has quite complicated behaviors depending on which side from which the position variable ${\bf r}$ gets across the plane expanded by the two strings. Consequently, some misunderstandings in the literature are clarified. Comment: 5 pages, 3 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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