Skip to main content
Log in

Localized gravity on topological Abelian Higgs strings

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

In this work there are proposed several new 6D brane worlds based on exact topological solutions to the vortex equations for the Abelian Higgs model, with suitable boundary conditions and symmetry breaking potentials similar to the mexican hat. Just as happens for RS domain wall brane worlds, it is shown that the massless mode of linearized gravity is localized in the neighborhood of the string–vortex solution while there are not massive bounded states. The correction to the newtonian limit of the effective 4D gravity is calculated.

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. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 3370 (1999) arXiv:hep-ph/9905221

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. Randall L., Sundrum R.: Phys. Rev. Lett. 83, 4690 (1999) arXiv:hep-th/9906064

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Bjac B., Gabadadźe G.: Phys. Lett. B 474, 282 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  4. Gremm M.: Phys. Lett. B 478, 434 (2000) arXiv:hep-th/9912060

    Article  ADS  Google Scholar 

  5. Ringeval C., Peter P., Uzan J.-P.: Phys. Rev. D 65, 044016 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  6. Eto M., Maru N., Sakai N.: Nucl. Phys. B 673, 98–130 (2003)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. Naylor W., Sasaki M.: Prog. Theor. Phys. 113, 535 (2005) arXiv:hep-th/0411155

    Article  MathSciNet  ADS  Google Scholar 

  8. Minamitsuji M., Naylor W., Sasaki M.: Nucl. Phys. B 737, 121 (2006) arXiv:hep-th/0508093

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. Garriga J., Pujolas O., Tanaka T.: Nucl. Phys. B 655, 127 (2003) arXiv:hep-th/0111277

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. Flachi A., Toms D.J.: Nucl. Phys. B 610, 144 (2001) arXiv:hep-th/0103077

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. Giovannini M., Meyer H., Shaposhnikov M.E.: Nucl. Phys. B 619, 615 (2001) arXiv:hep-th/0104118

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. Roessl E., Shaposhnikov M.: Phys. Rev. D 66, 084008 (2002) arXiv:hep-th/0205320

    Article  MathSciNet  ADS  Google Scholar 

  13. Bezerrade Mello E.R., Hartmann B.: Phys. Lett. B 639, 546 (2006) arXiv:hep-th/0603077

    Article  ADS  Google Scholar 

  14. Olasagasti I., Vilenkin A.: Phys. Rev. D 62, 044014 (2000) arXiv:hep-th/0003300

    Article  MathSciNet  ADS  Google Scholar 

  15. Arkani-Hamed N., Dimopoulos S., Dvali G.R.: Phys. Lett. B 429, 263 (1998) arXiv:hep-ph/9803315

    Article  ADS  Google Scholar 

  16. Antoniadis I., Arkani-Hamed N., Dimopoulos S., Dvali G.R.: Phys. Lett. B 436, 257 (1998) arXiv:hep-ph/9804398

    Article  ADS  Google Scholar 

  17. Gherghetta T., Shaposhnikov M.E.: Phys. Rev. Lett. 85, 240 (2000) arXiv:hep-th/0004014

    Article  MathSciNet  ADS  Google Scholar 

  18. Randjbar-Daemi S., Shaposhnikov M.: Phys. Lett. B 492, 361 (2000) arXiv:hep-th/0008079

    Article  MathSciNet  ADS  Google Scholar 

  19. Giovannini M.: Phys. Rev. D 66, 044016 (2002) arXiv:hep-th/0205139

    Article  MathSciNet  ADS  Google Scholar 

  20. Giovannini M., Le Be J.V., Riederer S.: Class. Quant. Grav. 19, 3357 (2002) arXiv:hep-th/0205222

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. Randjbar-Daemi S., Shaposhnikov M.: Nucl. Phys. B 645, 188 (2002) arXiv:hep-th/0206016

    MATH  MathSciNet  Google Scholar 

  22. Randjbar-Daemi S., Shaposhnikov M.: JHEP 0304, 016 (2003) arXiv:hep-th/0303247

    Article  MathSciNet  ADS  Google Scholar 

  23. Parameswaran S.L., Randjbar-Daemi S., Salviom A.: Nucl. Phys. B 767, 54 (2007) arXiv:hep-th/0608074

    Article  MATH  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Bogomol’nyi E.B.: Sov. J. Nucl. Phys. 24, 449 (1976)

    MathSciNet  Google Scholar 

  26. de Vega H.J., Schaposnik F.A.: Phys. Rev. D 14, 1100 (1976)

    Article  ADS  Google Scholar 

  27. Brihaye Y., Delsate T., Hartmann B.: Phys. Rev. D 74, 044015 (2006) arXiv:hep-th/0602172

    Article  MathSciNet  ADS  Google Scholar 

  28. Preskill, J.: Les Houches Summer School, Les Houches, France (1985)

  29. Guerrero R., Ortiz R., Rodriguez R.O., Torrealba R.S.: Gen. Relativ. Gravit. 38, 845 (2006) arXiv:gr-qc/0504080

    Article  MATH  MathSciNet  ADS  Google Scholar 

  30. Guerrero R., Rodriguez R.O., Torrealba R.S.: Phys. Rev. D 72, 124012 (2005) arXiv:hep-th/0510023

    Article  MathSciNet  ADS  Google Scholar 

  31. Melfo A., Pantoja N., Skirzewski A.: Phys. Rev. D 67, 105003 (2003) arXiv:hep-th/0211081

    Article  MathSciNet  ADS  Google Scholar 

  32. Lavrelasvili G.V., Tinyakov P.G.: Sov. J. Nucl. Phys. 41, 172 (1985)

    Google Scholar 

  33. Castillo-Felisola O., Melfo A., Pantoja N., Ramirez A.: Phys. Rev. D 70, 104029 (2004) arXiv:hep-th/0404083

    Article  MathSciNet  ADS  Google Scholar 

  34. Wang A.: Phys. Rev. D 66, 024024 (2002) arXiv:hep-th/0201051

    Article  MathSciNet  ADS  Google Scholar 

  35. Ma, T., Li, S.-M.: arXiv:cond-mat.other/0711.1458

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rafael S. Torrealba.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Torrealba, R.S. Localized gravity on topological Abelian Higgs strings. Gen Relativ Gravit 42, 1831–1844 (2010). https://doi.org/10.1007/s10714-010-0951-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10714-010-0951-2

Keywords

Navigation