On Solitons with an Abelian Charge in Scalar Field Theories. 1. Classical Theory and Bohr-Sommerfeld Quantization

Apr, 1976
9 pages
Published in:
  • Nucl.Phys.B 112 (1976) 349-357
  • Published: 1976
Report number:
  • RITP-6-76

Citations per year

1976198820002012202402468
Abstract: (Elsevier)
The conditions for the occurrence of charged soliton solutions in scalar field theories with a global U(1) symmetry are examined. It is shown that in the rest frame of the soliton the phase of the charged field is a linear function of the time, ωt + α , where |ω| is in general bounded both from above and below. The charge has no upper bound. Quantization according to Bohr-Sommerfeld rules is shown to be equivalent to requiring that the charge takes on integer values. A solvable one-dimensional model is given as an example of the general results.
  • FIELD THEORY: SCALAR
  • FIELD THEORY: SOLITON
  • CHARGE
  • SYMMETRY: U(1)
  • SYMMETRY: INTERNAL
  • FIELD THEORY: QUANTIZATION