Skip to main content
Article thumbnail
Location of Repository

Fermions coupled to skyrmions on S**3

By Steffen Krusch

Abstract

This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically

Topics: QA, QC
Publisher: IOP PUBLISHING LTD
Year: 2003
OAI identifier: oai:kar.kent.ac.uk:6067

Suggested articles

Citations

  1. (1927). A Course of Modern Analysis, doi
  2. (1961). A nonlinear field theory, doi
  3. (1995). Attractive channel skyrmions and the deuteron, doi
  4. (1984). Baryon density of quarks coupled to a chiral field , doi
  5. (1984). Baryon density of quarks coupled to a chiral field, doi
  6. (1993). Bundles over moduli spaces and the quantization of doi
  7. (1993). Bundles over moduli spaces and the quantization of BPS monopoles, doi
  8. (1968). Connection between spin, statistics, and kinks doi
  9. (1968). Connection between spin, statistics, and kinks, doi
  10. (1986). Fermions in the space-time R × doi
  11. (1986). Fermions in the space-time R× doi
  12. (1985). Field theory on R× doi
  13. (1987). Geometry of skyrmions, doi
  14. (1983). Global aspects of current algebra, doi
  15. (1980). Gravitation, gauge theories and differential geometry, doi
  16. (1972). Handbook of Mathematical Functions, Dover Publications, tenth edition doi
  17. (2002). Homotopy of rational maps and the quantization of skyrmions doi
  18. (1992). Numerical Recipes , doi
  19. (1992). Numerical Recipes, doi
  20. (1997). Quarks Bound by Chiral Fields,
  21. (2000). S3 skyrmions and the rational map ansatz , doi
  22. (2000). S3 skyrmions and the rational map ansatz, doi
  23. (1986). Skyrmions in flat space and curved space, doi
  24. (1999). Skyrmions, spectral flow and parity doubles, doi
  25. (1986). Solutions of the Dirac equation for fermions in Skyrme fields , doi
  26. (1986). Solutions of the Dirac equation for fermions in Skyrme fields, doi
  27. (1983). Static properties of nucleons in the Skyrme model , doi
  28. (1983). Static properties of nucleons in the Skyrme model, doi
  29. (1987). Static properties of skyrmions, doi
  30. (2001). Structure of Skyrmions,
  31. (1960). The axial vector current in beta decay, doi
  32. (1985). The stability of a chiral soliton in the fermion one loop approximation, doi
  33. (2000). Zero mode quantization of multi-skyrmions, doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.