We consider the Zitterbewegung (ZB) effect induced in the AdS (anti-de Sitter) space-time by a cosmic string. Near the cosmic string, the effects of curvature play a dominant role. The ZB was calculated based on the Dirac equation in a curved space-time. An expression for a current is obtained. Its evolution and dependence on the distance from the event horizon are analyzed.
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S.-H. Shao, P. Chen, and J.-A. Gu, Phys. Rev. D, 81, 084036 (2010).
O. Aharony, S. S. Gubser, J. Maldacena, et al., Phys. Rep., 323, 183 (2000).
P. Brax and C. Van de Bruck, Classical Quantum Gravity, 20, R201 (2003); R. Maartens and K. Koyama, Living Rev. Relativity, 13, 5 (2010).
J. Polchinski, String Theory: From Gauge Interactions to Cosmology, Springer, Netherlands (2005).
V. Berezinski, B. Hnatyk, and A. Vilenkin, Phys. Rev. D, 64, 043004 (2001).
T. Damour and A. Vilenkin, Phys. Rev. Lett., 85, 3761 (2000).
P. Bhattacharjee and G. Sigl, Phys. Rep., 327, 109 (2000).
C, A. Ballon Bayona, C. N. Ferreira, and V. J. Vasquez Otoya, Class. Quantum Grav., 28, 015011 (2011).
E. R. Bezerra de Mello, V. B. Bezerra, and A. A. Saharian, Phys. Lett. B, 645, 245 (2007).
E. R. Bezerra de Mello and A. A. Saharian, J. Phys. A, 45, 115402 (2012).
W. Zawadzki, Optical Properties of Solids, Gordon and Breach, New York (1970).
E. Schroedinger, Sitzunber. Preuss. Akad. Wiss. Phys.-Math. Kl., 24, 418 (1930).
N. N. Konobeeva and M. B. Belonenko, Physica B, 456, 115 (2014).
E. R. Bezerra de Mello, E. R. Figueiredo Medeiros, and A. A. Saharian, Class. Quantum Grav., 30, 175001 (2013).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 23–27, February, 2019.
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Konobeeva, N.N., Belonenko, M.B. Zitterbewegung in the AdS Cosmic String Space-Time. Russ Phys J 62, 205–209 (2019). https://doi.org/10.1007/s11182-019-01702-2
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DOI: https://doi.org/10.1007/s11182-019-01702-2