A Class of Scalar-Field Soliton Solutions in Three Space Dimensions

Jan, 1976
72 pages
Published in:
  • Phys.Rev.D 13 (1976) 2739-2761
Report number:
  • CO-2271-71

Citations per year

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Abstract: (APS)
A class of three-space-dimensional soliton solutions is given; these solitons are made of scalar fields and are of a nontopological nature. The necessary conditions for having such soliton solutions are (i) the conservation of an additive quantum number, say Q, and (ii) the presence of a neutral (Q=0) scalar field. It is shown that there exist two critical values of the additive quantum number, QC and QS, with QC smaller than QS. Soliton solutions exist for Q>QC. When Q>QS, the lowest soliton mass is Qm; nevertheless, the lowest-energy soliton solution can be shown to be always classically stable, though quantum-mechanically metastable. The canonical quantization procedures are carried out. General theorems on stability are established, and specific numerical results of the solition solutions are given.
  • FIELD EQUATIONS: SOLITON
  • STABILITY
  • field theory: scalar
  • CONSERVATION LAW
  • MASS: SOLITON
  • SOLITON: MASS
  • QUANTIZATION
  • NUMERICAL CALCULATIONS