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Advances in High Energy Physics
Volume 2016 (2016), Article ID 1376016, 27 pages
Research Article

Ultrarelativistic Spinning Particle and a Rotating Body in External Fields

1Departamento de Matemática, ICE, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil
2Laboratory of Mathematical Physics, Tomsk Polytechnic University, Lenin Ave. 30, Tomsk 634050, Russia

Received 14 June 2016; Accepted 17 August 2016

Academic Editor: Seyed H. Hendi

Copyright © 2016 Alexei A. Deriglazov and Walberto Guzmán Ramírez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


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 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.