Abstract
We study the structure of soliton-monopole systems when Fermi fields are present. We show that the existence of a nondegenerate, isolated, zero-energy, $c$-number solution of the Dirac equation implies that the soliton is a degenerate doublet with Fermi number \ifmmode\pm\else\textpm\fi{} \textonehalf{}. We find such solutions in the theory of Yang-Mills monopoles and dyons.
Keywords
PhysicsDegenerate energy levelsFermionMagnetic monopoleSolitonQuantum mechanicsFermi Gamma-ray Space TelescopeMathematical physicsQuantum electrodynamicsDirac equationNonlinear system
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Publication Info
- Year
- 1976
- Type
- article
- Volume
- 13
- Issue
- 12
- Pages
- 3398-3409
- Citations
- 2098
- Access
- Closed
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Cite This
R. Jackiw,
C. Rebbi
(1976).
Solitons with fermion number ½.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
, 13
(12)
, 3398-3409.
https://doi.org/10.1103/physrevd.13.3398
Identifiers
- DOI
- 10.1103/physrevd.13.3398