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Rotating skyrmions of the (2 + 1)-dimensional Skyrme gauge model with a Chern-Simons term

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

The (2 + 1)-dimensional Skyrme gauge model with a Chern-Simons term is considered. The presence of the Chern-Simons term makes possible the existence of two-dimensional skyrmions in this model, which carry magnetic flux and have an electric charge and a nonzero angular momentum. It is shown that the model also admits the existence of two-dimensional skyrmions with a nonzero phase frequency of rotation. Due to the nontrivial topological properties of the model, the magnetic flux, the electric charge, and the angular momentum of a two-dimensional rotating skyrmion turn out to be interrelated. Analytic and numerical investigations of the properties of rotating two-dimensional skyrmions are carried out.

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References

  1. A. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957).

    Google Scholar 

  2. H. V. Nielsen and P. Olesen, Nucl. Phys. B 61, 45 (1973).

    Article  ADS  Google Scholar 

  3. A. A. Belavin and A. M. Polyakov, JETP Lett. 22(10), 245 (1975).

    ADS  Google Scholar 

  4. G. H. Derrick, J. Math. Phys. 5, 1252 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  5. B. J. Schroers, Phys. Lett. B 356, 291 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  6. B. M. A. G. Piette, B. J. Schroers, and W. J. Zakrzewski, Z. Phys. C: Part. Fields 65, 165 (1995).

    Article  Google Scholar 

  7. B. M. A. G. Piette, B. J. Schroers, and W. J. Zakrzewski, Nucl. Phys. B 439, 205 (1995).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. T. H. R. Skyrme, Proc. R. Soc. London, Ser. A 260, 127 (1961).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. T. Weidig, Nonlinearity 12, 1489 (1999).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. J. Gladikowski, B. M. A. G. Piette, and B. J. Schroers, Phys. Rev. D: Part. Fields 53, 844 (1996).

    Article  ADS  Google Scholar 

  11. R. Jackiw and S. Templeton, Phys. Rev. D: Part. Fields 23, 2291 (1981).

    Article  ADS  Google Scholar 

  12. J. F. Schonfeld, Nucl. Phys. B 185, 157 (1981).

    Article  ADS  Google Scholar 

  13. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982).

    Article  ADS  Google Scholar 

  14. S. K. Paul and A. Khare, Phys. Lett. B 174, 420 (1986).

    Article  ADS  MathSciNet  Google Scholar 

  15. P. K. Ghosh and S. K. Ghosh, Phys. Lett. B 366, 199 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  16. R. Friedberg, T. D. Lee, and A. Sirlin, Phys. Rev. D: Part. Fields 13, 2739 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  17. S. Coleman, Nucl. Phys. B 262, 263 (1985).

    Article  ADS  Google Scholar 

  18. K. Lee, J. A. Stein-Schabes, R. Watkins, and L. W. Widraw, Phys. Rev. D: Part. Fields 39, 1665 (1989).

    Article  ADS  Google Scholar 

  19. I. Hen and M. Karliner, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 77, 116002 (2008).

    Article  MathSciNet  Google Scholar 

  20. V. A. Rubakov, Classical Theory of Gauge Fields (URSS, Moscow, 1999; Princeton University Press, Princeton, New Jersey, United States, 2002).

    Google Scholar 

  21. T. D. Lee and Y. Pang, Phys. Rep. 221, 251 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  22. R. Friedberg, T. D. Lee, and A. Sirlin, Nucl. Phys. B 115, 1 (1976).

    Article  ADS  Google Scholar 

  23. F. A. Shaposnik, arXiv:hep-th/0611028v1.

  24. A. Kudryavtsev, B. M. A. G. Piette, and W. J. Zakrzewski, Eur. Phys. J. C 1, 333 (1998).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Tomsk Polytechnic University, Tomsk, 634050, Russia

    A. Yu. Loginov

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  1. A. Yu. Loginov
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Correspondence to A. Yu. Loginov.

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Original Russian Text © A.Yu. Loginov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 145, No. 2, pp. 250–261.

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Loginov, A.Y. Rotating skyrmions of the (2 + 1)-dimensional Skyrme gauge model with a Chern-Simons term. J. Exp. Theor. Phys. 118, 217–226 (2014). https://doi.org/10.1134/S1063776114020150

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  • DOI: https://doi.org/10.1134/S1063776114020150

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