- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Non-Abelian Higgs model of magnetic field generation during a cosmological first-order electroweak phase transition

Trevor Stevens

Mikkel B. Johnson

Leonard S. Kisslinger

Ernest M. Henley

  • Department of Physics, West Virginia Wesleyan College, Buckhannon, West Virginia 26201, USA

  • Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

  • Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213, USA

  • Department of Physics, University of Washington, Seattle, Washington 98195, USA

PDF

Phys. Rev. D 85, 063003 – Published 23 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.063003

Abstract

We present a theory of the generation of magnetic fields in bubble collisions during the electroweak phase transition, which may be first order in various extensions of the standard model, for example, the minimal supersymmetric standard model. Using the equations of motion determined from an effective minimal supersymmetric standard model Lagrangian, we derive the magnetic field using a model of gentle collisions of the electroweak phase transition bubbles, discussed in our earlier work. Solutions of the relevant equations of motion for the magnetic field are examined in O(1,2) space-time symmetry with boundary conditions applied at the time of collision. These solutions indicate that the magnetic fields evolving from our equations of motion are somewhat larger in magnitude and extend more uniformly through the available volume of the bubble than those found in the Abelian Higgs model. The magnetic fields so produced might possibly seed galactic and extragalactic magnetic fields observed today.

View figure in article

Article Text

References (30)

  1. D. Grasso and H. R. Rubinstein, Phys. Rep. 348, 163 (2001).
  2. L. S. Kisslinger, Phys. Rev. D 68, 043516 (2003).
  3. L. S. Kisslinger, S. Walawalkar, and M. B. Johnson, Phys. Rev. D 71, 065017 (2005).
  4. D. T. Son, Phys. Rev. D 59, 063008 (1999).
  5. R. Banerjee and K. Jedamzik, Phys. Rev. Lett. 91, 251301 (2003); Phys. Rev. D 70, 123003 (2004).
  6. K. Dolag, M. Bartellmann, and A. V. Lesch, Astron. Astrophys. 348, 351 (1999); 387, 383 (2002).
  7. K. Kajantie, M. Laine, K. Rummukainen, and M. Shaposhnikov, Phys. Rev. Lett. 77, 2887 (1996).
  8. J. Rosiek, Phys. Rev. D 41, 3464 (1990). Gives references to earlier work.
  9. M. Dine, R. G. Leigh, P. Huet, A. Linde, and D. Linde, Phys. Rev. D 46, 550 (1992).
  10. D. Bodeker, P. John, M. Laine, and M. G. Schmidt, Nucl. Phys. B497, 387 (1997).
  11. M. Laine, Nucl. Phys. B481, 43 (1996); B548, 637 (1999).
  12. J. M. Cline and K. Kianulainen, Nucl. Phys. B482, 73 (1996); J. M. Cline and G. D. Moore, Phys. Rev. Lett. 81, 3315 (1998).
  13. M. Losada, Nucl. Phys. B537, 3 (1999).
  14. V. Cirigliano, S. Profumo, and M. J. Ramsey-Musolf, J. High Energy Phys. 07 (2006) 002.
  15. K. Enqvist, J. Ignatius, K. Kajantie, and K. Rummukainen, Phys. Rev. D 45, 3415 (1992).
  16. T. W. B. Kibble and A. Vilenkin, Phys. Rev. D 52, 679 (1995).
  17. J. Ahonen and K. Enqvist, Phys. Rev. D 57, 664 (1998).
  18. E. J. Copeland, P. M. Saffin, and O. Tornkvist, Phys. Rev. D 61, 105005 (2000).
  19. S. Coleman, Phys. Rev. D 15, 2929 (1977); 16, 1248(E) (1977); S. ColemanAspects of Symmetry (Cambridge University, Cambridge, England, 1985), Chap. 7.
  20. G. Baym and H. Heiselberg, Phys. Rev. D 56, 5254 (1997).
  21. E. M. Henley, M. B. Johnson, and L. S. Kisslinger, arXiv:hep-ph/0503247.
  22. L. S. Kisslinger, S. Walawalkar, E. M. Henley, and M. B. Johnson, arXiv:hep-ph/0510128.
  23. E. M. Henley, M. B. Johnson, and L. S. Kisslinger, Phys. Rev. D 81, 085035 (2010).
  24. M. B. Johnson, L. S. Kisslinger, E. M. Henley, W.-Y. P. Hwang, and T. Stevens, Mod. Phys. Lett. A 19, 1187 (2004).
  25. T. Stevens, M. B. Johnson, L. S. Kisslinger, E. M. Henley, W.-Y. Pauchy Hwang, and M. Burkardt, Phys. Rev. D 77, 023501 (2008).
  26. T. Stevens, Ph.D. thesis, New Mexico State University, 2007.
  27. T. Stevens and M. B. Johnson, Phys. Rev. D 80, e083011 (2009); arXiv:1001.3694.
  28. T. Kahniashvili, L. Kisslinger, and T. Stevens, Phys. Rev. D 81, 023004 (2010).
  29. T. Vachaspati, Phys. Rev. Lett. 87, 251302 (2001).
  30. For a review, see R. Beck, A. Brandenburg, D. Moss, A. Shukurov, and D. Sokoloff, Annu. Rev. Astron. Astrophys. 34, 155 (1996); C. L. Carilli, and G. B. Taylor, 40, 319 (2002).

Outline

Information

Phys. Rev. D 85, 063003– Published 23 March, 2012
  • Received 21 July 2011
Article part of CHORUS

© 2012 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation