Fermions coupled to skyrmions onS3

2003/04/30 by Steffen Krusch · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0305-4470/36/29/318

published as J.Phys.A36:8141,2003 · 31 pages, 6 figures

arxiv created 2003/04/30 · openalex publication_date 2003/07/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Global aspects of current algebra
• A non-linear field theory
• The axial vector current in beta decay

Cited by

• Fermions, Skyrmions and the 3-sphere