### Abstract

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 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.

Original language | English |
---|---|

Article number | 1376016 |

Journal | Advances in High Energy Physics |

Volume | 2016 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Advances in High Energy Physics*,

*2016*, [1376016]. https://doi.org/10.1155/2016/1376016

**Ultrarelativistic Spinning Particle and a Rotating Body in External Fields.** / Deriglazov, Alexei A.; Ramï¿½rez, Walberto Guzmï¿½n.

Research output: Contribution to journal › Article

*Advances in High Energy Physics*, vol. 2016, 1376016. https://doi.org/10.1155/2016/1376016

}

TY - JOUR

T1 - Ultrarelativistic Spinning Particle and a Rotating Body in External Fields

AU - Deriglazov, Alexei A.

AU - Ramï¿½rez, Walberto Guzmï¿½n

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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 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.

AB - 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 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.

UR - http://www.scopus.com/inward/record.url?scp=84993944711&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84993944711&partnerID=8YFLogxK

U2 - 10.1155/2016/1376016

DO - 10.1155/2016/1376016

M3 - Article

AN - SCOPUS:84993944711

VL - 2016

JO - Advances in High Energy Physics

JF - Advances in High Energy Physics

SN - 1687-7357

M1 - 1376016

ER -