Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
arXiv:1012.0319 · doi:10.1063/1.3653196
Abstract
In this paper the conditions, under which non-topological solitons are absent in the Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained in a very simple way. It is also shown that non-topological solitons are absent in the theory describing the massive complex vector field coupled to the electromagnetic field in Minkowski space.
arXiv comment10 pages, LaTeX, v3: more accurate formulation of the theorem and the proposition is given, the corresponding small discussion is added on page 7; v4: transformation in the footnote on page 7 corrected, 3 references added to Introduction, minor stylistic corrections in the text