Kerner equation for motion in a non-Abelian gauge field
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915290407763968 |
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| author | Horvathy, Peter A Zhang, Peng-Ming |
| author_facet | Horvathy, Peter A Zhang, Peng-Ming |
| contents | The equations of motion of an isospin-carrying particle in a Yang-Mills and gravitational field were first proposed in 1968 by Kerner, who considered geodesics in a Kaluza-Klein-type framework. Two years later the flat space Kerner equations were completed by considering also the motion of the isospin by Wong, who used a field-theoretical approach. Their groundbreaking work was then followed by a long series of rediscoveries whose history is reviewed. The concept of isospin charge and the physical meaning of its motion are discussed. Conserved quantities are studied for Wu-Yang monopoles and for diatomic molecules by using van Holten's algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19715 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kerner equation for motion in a non-Abelian gauge field Horvathy, Peter A Zhang, Peng-Ming Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory The equations of motion of an isospin-carrying particle in a Yang-Mills and gravitational field were first proposed in 1968 by Kerner, who considered geodesics in a Kaluza-Klein-type framework. Two years later the flat space Kerner equations were completed by considering also the motion of the isospin by Wong, who used a field-theoretical approach. Their groundbreaking work was then followed by a long series of rediscoveries whose history is reviewed. The concept of isospin charge and the physical meaning of its motion are discussed. Conserved quantities are studied for Wu-Yang monopoles and for diatomic molecules by using van Holten's algorithm. |
| title | Kerner equation for motion in a non-Abelian gauge field |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.19715 |