Abstract
The existence and the properties of the limit at spatial infinity are studied for the finite-energy scalar fields with respect to the topological charge introduction. The limit is shown to be constant in time and in almost all spatial directions. The proof of the existence of the limit given by Parenti, Strocchi and Velo is extended to two-dimensional space. A generalized definition of the topological charge is suggested for a σ-model as an example.
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Communicated by R. Stora
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Dittrich, J. Asymptotic behaviour of the classical scalar fields and topological charges. Commun.Math. Phys. 82, 29–39 (1981). https://doi.org/10.1007/BF01206944
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DOI: https://doi.org/10.1007/BF01206944