FAST SPINNING PARTICLE IN EXTERNAL ELECTROMAGNETIC AND GRAVITATIONAL FIELDS
Three-dimensional acceleration in general relativity can be defined so that spinless particle in the process of evolution in an external gravitational field can not exceed the speed of light. We ask what happens if a spinless particle is replaced by test-particle with spin one-half. Inclusion of spin-gravitational interaction gives generalized Papapetrou equations with modified metric along the world-line. The modified metric should be used to calculate the acceleration of spinning particles. Inclusion of spin-electromagnetic interaction in flat space gives generalized Frenkel equations, where an effective metric along world-line arises for the particle with anomalous magnetic moment. This implies that intervals of time (and distance) probed by such particle in the presence of electromagnetic field slightly differ from those in empty space.
Keywords: ultra-relativistic spinning particle, Frenkel equation, BMT equation, Papapetrou equation
References:
[1] Deriglazov A. A. and Pupasov-Maksimov A. M. 2014 Eur. Phys. J. C 74 3101.
[2] Deriglazov A. A. and Pupasov-Maksimov A. M. 2014 Nucl. Phys. B 885 1.
[3] Ramirez W. G., Deriglazov A. A. and Pupasov-Maksimov A. M. 2014 JHEP 03 109.
[4] Deriglazov A. A. 2014 Phys. Lett. B 736 278.
[5] Hanson A. J. and Regge T. 1974 Annals of Phys. 87(2) 498.
[6] Holten J. W. van. 1991 Nucl. Phys. B 356 3.
[7] Hojman S. A. and Asenjo F. A. 2013 Class. Quant. Grav. 30 025008.
[8] Frenkel J. 1926 Nature 117 (1926) 653.
[9] Mukunda M. Dam H. van and Biedenharn L. C. 1982. Lecture Notes in Phys. 165 (Springer-Verlag)
[10] Landau L. D. and Lifshitz E. M. 2011. Classical Theory of Fields, Course of Theoretical Physics vol 2 (Pergamon)
[11] Papapetrou A. 1951 Proc. Roy. Soc. Lond. A 209 248.
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Issue: 12, 2014
Series of issue: Issue 12
Pages: 58 — 62
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