Skip to main content
Log in

BPS solutions to a generalized Maxwell–Higgs model

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We look for topological BPS solutions of an Abelian Maxwell–Higgs theory endowed by non-standard kinetic terms to both gauge and scalar fields. Here, the non-usual dynamics are controlled by two positive functions, G(|ϕ|) and w(|ϕ|), which are related to the self-dual scalar potential V(|ϕ|) of the model by a fundamental constraint. The numerical results we found present interesting new features, and contribute to the development of the recent issue concerning the study of generalized models and their applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. Finkelstein, J. Math. Phys. 7, 1218 (1966)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Google Scholar 

  3. H.B. Nielsen, P. Olesen, Nucl. Phys. B 61, 45 (1973)

    Article  ADS  Google Scholar 

  4. G. ’t Hooft, Nucl. Phys. B 79, 276 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  5. A.M. Polyakov, JETP Lett. 20, 194 (1974)

    ADS  Google Scholar 

  6. A. Vilenkin, E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 1994)

    MATH  Google Scholar 

  7. N. Manton, P. Sutcliffe, Topological Solitons (Cambridge University Press, Cambridge, 2004)

    Book  MATH  Google Scholar 

  8. E. Bogomol’nyi, Sov. J. Nucl. Phys. 24, 449 (1976)

    MathSciNet  Google Scholar 

  9. M. Prasad, C. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)

    Article  ADS  Google Scholar 

  10. E. Babichev, V. Mukhanov, A. Vikman, J. High Energy Phys. 02, 101 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  11. C. Armendariz-Picon, T. Damour, V. Mukhanov, Phys. Lett. B 458, 209 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. V. Mukhanov, A. Vikman, J. Cosmol. Astropart. Phys. 02, 004 (2005)

    ADS  Google Scholar 

  13. C. Armendariz-Picon, E.A. Lim, J. Cosmol. Astropart. Phys. 08, 007 (2005)

    Article  ADS  Google Scholar 

  14. A. Sen, J. High Energy Phys. 07, 065 (2002)

    Article  ADS  Google Scholar 

  15. J. Garriga, V. Mukhanov, Phys. Lett. B 458, 219 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. R.J. Scherrer, Phys. Rev. Lett. 93, 011301 (2004)

    Article  ADS  Google Scholar 

  17. A.D. Rendall, Class. Quantum Gravity 23, 1557 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. T.H.R. Skyrme, Proc. R. Soc. A 260, 127 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. L. Faddeev, A.J. Niemi, Phys. Rev. Lett. 82, 1624 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. D.A. Nicole, J. Phys. G 4, 1363 (1978)

    Article  ADS  Google Scholar 

  21. S. Deser, M.J. Du, C.J. Isham, Nucl. Phys. B 114, 29 (1976)

    Article  ADS  MATH  Google Scholar 

  22. H. Aratyn, L.A. Ferreira, A.H. Zimerman, Phys. Rev. Lett. 83, 1723 (1999)

    Article  ADS  Google Scholar 

  23. D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003)

    Article  ADS  Google Scholar 

  24. C. Adam, J. Sanchez-Guillen, R.A. Vazquez, J.A. Wereszczynski, J. Math. Phys. 47, 052302 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  25. T.H.R. Skyrme, Proc. R. Soc. A 262, 237 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. D. Bazeia, E. da Hora, C. dos Santos, R. Menezes, Phys. Rev. D 81, 125014 (2010)

    Article  ADS  Google Scholar 

  27. D. Bazeia, E. da Hora, R. Menezes, H.P. de Oliveira, C. dos Santos, Phys. Rev. D 81, 125016 (2010)

    Article  ADS  Google Scholar 

  28. C. dos Santos, E. da Hora, Eur. Phys. J. C 70, 1145 (2010)

    Article  ADS  Google Scholar 

  29. C. dos Santos, E. da Hora, Eur. Phys. J. C 71, 1519 (2011)

    Article  ADS  Google Scholar 

  30. C. dos Santos, Phys. Rev. D 82, 125009 (2010)

    Article  ADS  Google Scholar 

  31. C. Adam, N. Grandi, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 41, 212004 (2008). Erratum-ibid. A 42, 159801 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  32. C. Adam, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 40, 13625 (2007). Erratum-ibid. A 42, 159801 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. C. Adam, N. Grandi, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 41, 375401 (2008)

    Article  MathSciNet  Google Scholar 

  34. C. Adam, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 42, 135401 (2009)

    MathSciNet  ADS  Google Scholar 

  35. E. Babichev, Phys. Rev. D 74, 085004 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  36. D. Bazeia, L. Losano, R. Menezes, J.C.R.E. Oliveira, Eur. Phys. J. C 51, 953 (2007)

    Article  ADS  Google Scholar 

  37. X. Jin, X. Li, D. Liu, Class. Quantum Gravity 24, 2773 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. P. Rosenau, J.M. Hyman, Phys. Rev. Lett. 70, 564 (1993)

    Article  ADS  MATH  Google Scholar 

  39. P. Rousenau, E. Kashdan, Phys. Rev. Lett. 104, 034101 (2010)

    Article  ADS  Google Scholar 

  40. D. Bazeia, Phys. Rev. D 46, 1879 (1992)

    Article  ADS  Google Scholar 

  41. R. Friedberg, T.D. Lee, Phys. Rev. D 15, 1694 (1977)

    Article  ADS  Google Scholar 

  42. R. Friedberg, T.D. Lee, Phys. Rev. D 16, 1096 (1977)

    Article  ADS  Google Scholar 

  43. R. Friedberg, T.D. Lee, Phys. Rev. D 18, 2623 (1978)

    Article  ADS  Google Scholar 

  44. M.N. Barreto, D. Bazeia, R. Menezes, Phys. Rev. D 73, 065015 (2006)

    Article  ADS  Google Scholar 

  45. D. Bazeia, M.M. Ferreira Jr., A.R. Gomes, R. Menezes, Physica D 239, 942 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. R. Casana, M.M. Ferreira Jr., E. da Hora, C.M. Cantanhede, arXiv:1109.2981v1 [hep-th]

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. da Hora.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bazeia, D., da Hora, E., dos Santos, C. et al. BPS solutions to a generalized Maxwell–Higgs model. Eur. Phys. J. C 71, 1833 (2011). https://doi.org/10.1140/epjc/s10052-011-1833-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-011-1833-9

Keywords

Navigation