Solitons with Fermion Number 1/2

Dec, 1975
54 pages
Published in:
  • Phys.Rev.D 13 (1976) 3398-3409
Report number:
  • MIT-CTP-517

Citations per year

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Abstract: (APS)
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 ± ½. We find such solutions in the theory of Yang-Mills monopoles and dyons.
  • FIELD EQUATIONS: SOLITON
  • FERMION: FRACTIONALLY CHARGED
  • FIELD THEORY: TWO-DIMENSIONAL
  • FIELD THEORY: SCALAR
  • CHARGE: TOPOLOGICAL
  • QUANTIZATION
  • GAUGE FIELD THEORY: THREE-DIMENSIONAL
  • GAUGE FIELD THEORY: SU(2)
  • GAUGE FIELD THEORY: EXTERNAL FIELD
  • FIELD EQUATIONS: MONOPOLE