Self-Force of a Dirac String: An Explicit Calculation
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910053815025664 |
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| author | Rojo, Alberto G. |
| author_facet | Rojo, Alberto G. |
| contents | A Dirac string can be modeled as a semi-infinite solenoid carrying a fixed magnetic flux. Dirac pointed out that such a string should experience a nonvanishing and divergent self-force, but explicit calculations are rarely shown. Motivated by a recent comment by McDonald, we present a direct and elementary derivation of this self-force. Treating the string as a stack of current loops, we compute the axial force produced by the radial magnetic field generated by the rest of the solenoid. The resulting force, $F=Φ^2/(2πμ_0 a^2)$, diverges as the solenoid radius $a\to0$ with flux $Φ$ fixed, making explicit the singular nature of the Dirac string. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14429 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Self-Force of a Dirac String: An Explicit Calculation Rojo, Alberto G. Classical Physics A Dirac string can be modeled as a semi-infinite solenoid carrying a fixed magnetic flux. Dirac pointed out that such a string should experience a nonvanishing and divergent self-force, but explicit calculations are rarely shown. Motivated by a recent comment by McDonald, we present a direct and elementary derivation of this self-force. Treating the string as a stack of current loops, we compute the axial force produced by the radial magnetic field generated by the rest of the solenoid. The resulting force, $F=Φ^2/(2πμ_0 a^2)$, diverges as the solenoid radius $a\to0$ with flux $Φ$ fixed, making explicit the singular nature of the Dirac string. |
| title | Self-Force of a Dirac String: An Explicit Calculation |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2603.14429 |