Abstract
Localized excitations in the form of solitary waves of the Klein-Gordon-equation with cubic nonlinearity in one space and time dimension are studied and the observable physical quantities are investigated with respect to their dependence on the coupling constant. A complete and consistent calculation is possible by imposing an U(1)-symmetry, i.e. using complex fields. Two dispersion branches occur, where the corresponding energies are regular in one and highly singular in the other case.
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References
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Möbius, P. Coupling constant dependence in a special model of nonlinear field theory with internal symmetry. Czech J Phys 32, 664–667 (1982). https://doi.org/10.1007/BF01596713
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DOI: https://doi.org/10.1007/BF01596713