Ultrarelativistic Spinning Particle and a Rotating Body in External Fields
We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle’s trajectory in ultrarelativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/1376016 |
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| author | Alexei A. Deriglazov Walberto Guzmán Ramírez |
| author_facet | Alexei A. Deriglazov Walberto Guzmán Ramírez |
| author_sort | Alexei A. Deriglazov |
| collection | DOAJ |
| description | We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle’s trajectory in ultrarelativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of a rotating body. We show that they have unsatisfactory behavior in the ultrarelativistic limit. In particular, three-dimensional acceleration of the particle becomes infinite in the limit. Therefore, we examine the nonminimal interaction through the gravimagnetic moment κ and show that the theory with κ=1 is free of the problems detected in MPTD equations. Hence, the nonminimally interacting theory seems a more promising candidate for description of a relativistic rotating body in general relativity. Vector model in an arbitrary electromagnetic field leads to generalized Frenkel and BMT equations. If we use the usual special-relativity notions for time and distance, the maximum speed of the particle with anomalous magnetic moment in an electromagnetic field is different from the speed of light. This can be corrected assuming that the three-dimensional geometry should be defined with respect to an effective metric induced by spin-field interaction. |
| format | Article |
| id | doaj-art-f91f0669725f4ec19ef5a8062257fb58 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-f91f0669725f4ec19ef5a8062257fb582025-02-03T01:03:16ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/13760161376016Ultrarelativistic Spinning Particle and a Rotating Body in External FieldsAlexei A. Deriglazov0Walberto Guzmán Ramírez1Departamento de Matemática, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, BrazilDepartamento de Matemática, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, BrazilWe use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle’s trajectory in ultrarelativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations of a rotating body. We show that they have unsatisfactory behavior in the ultrarelativistic limit. In particular, three-dimensional acceleration of the particle becomes infinite in the limit. Therefore, we examine the nonminimal interaction through the gravimagnetic moment κ and show that the theory with κ=1 is free of the problems detected in MPTD equations. Hence, the nonminimally interacting theory seems a more promising candidate for description of a relativistic rotating body in general relativity. Vector model in an arbitrary electromagnetic field leads to generalized Frenkel and BMT equations. If we use the usual special-relativity notions for time and distance, the maximum speed of the particle with anomalous magnetic moment in an electromagnetic field is different from the speed of light. This can be corrected assuming that the three-dimensional geometry should be defined with respect to an effective metric induced by spin-field interaction.http://dx.doi.org/10.1155/2016/1376016 |
| spellingShingle | Alexei A. Deriglazov Walberto Guzmán Ramírez Ultrarelativistic Spinning Particle and a Rotating Body in External Fields Advances in High Energy Physics |
| title | Ultrarelativistic Spinning Particle and a Rotating Body in External Fields |
| title_full | Ultrarelativistic Spinning Particle and a Rotating Body in External Fields |
| title_fullStr | Ultrarelativistic Spinning Particle and a Rotating Body in External Fields |
| title_full_unstemmed | Ultrarelativistic Spinning Particle and a Rotating Body in External Fields |
| title_short | Ultrarelativistic Spinning Particle and a Rotating Body in External Fields |
| title_sort | ultrarelativistic spinning particle and a rotating body in external fields |
| url | http://dx.doi.org/10.1155/2016/1376016 |
| work_keys_str_mv | AT alexeiaderiglazov ultrarelativisticspinningparticleandarotatingbodyinexternalfields AT walbertoguzmanramirez ultrarelativisticspinningparticleandarotatingbodyinexternalfields |