Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator
Considering spin degrees of freedom incorporated in the conformal generators, we introduce an intrinsic momentum operator $\pi_\mu$, which is feasible for the Bhabha wave equation. If a physical state $\psi_{ph}$ for spin s is annihilated by the $\pi_\mu$, the degree of $\psi_{ph}$, deg $\psi_{ph}$,...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.14.034 |
| _version_ | 1797462041152192512 |
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| author | Seiichi Kuwata |
| author_facet | Seiichi Kuwata |
| author_sort | Seiichi Kuwata |
| collection | DOAJ |
| description | Considering spin degrees of freedom incorporated in the conformal generators, we introduce an intrinsic momentum operator $\pi_\mu$, which is feasible for the Bhabha wave equation. If a physical state $\psi_{ph}$ for spin s is annihilated by the $\pi_\mu$, the degree of $\psi_{ph}$, deg $\psi_{ph}$, should equal twice the spin degrees of freedom, $2 ( 2 s + 1)$ for a massive particle, where the multiplicity $2$ indicates the chirality. The relation deg $\psi_{ph}$ = 2(2s+1) holds in the representation $R_5$ (s,s), irreducible representation of the Lorentz group in five dimensions. |
| first_indexed | 2024-03-09T17:30:37Z |
| format | Article |
| id | doaj.art-51e21abfe37c4f29870207dd684faed5 |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-03-09T17:30:37Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-51e21abfe37c4f29870207dd684faed52023-11-24T12:18:33ZengSciPostSciPost Physics Proceedings2666-40032023-11-011403410.21468/SciPostPhysProc.14.034Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operatorSeiichi KuwataConsidering spin degrees of freedom incorporated in the conformal generators, we introduce an intrinsic momentum operator $\pi_\mu$, which is feasible for the Bhabha wave equation. If a physical state $\psi_{ph}$ for spin s is annihilated by the $\pi_\mu$, the degree of $\psi_{ph}$, deg $\psi_{ph}$, should equal twice the spin degrees of freedom, $2 ( 2 s + 1)$ for a massive particle, where the multiplicity $2$ indicates the chirality. The relation deg $\psi_{ph}$ = 2(2s+1) holds in the representation $R_5$ (s,s), irreducible representation of the Lorentz group in five dimensions.https://scipost.org/SciPostPhysProc.14.034 |
| spellingShingle | Seiichi Kuwata Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator SciPost Physics Proceedings |
| title | Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator |
| title_full | Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator |
| title_fullStr | Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator |
| title_full_unstemmed | Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator |
| title_short | Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator |
| title_sort | spin degrees of freedom incorporated in conformal group introduction of an intrinsic momentum operator |
| url | https://scipost.org/SciPostPhysProc.14.034 |
| work_keys_str_mv | AT seiichikuwata spindegreesoffreedomincorporatedinconformalgroupintroductionofanintrinsicmomentumoperator |