On the existence of stable charged Q-balls

Details On the existence of stable charged Q-balls On the existence of stable charged Q-balls

2010-11-23

arxiv.org/abs/1011.5044v1

Physics

Mathematical Physics

25 pages

Scientific paper

This paper concerns hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. In theoretical physics, the name Q-ball refers to a type of hylomorphic solitons or soli- tary waves relative to the Nonlinear Klein-Gordon equation (NKG). We are interested in the existence of charged Q-balls, namely Q-balls for the Nonlinear Klein-Gordon equation coupled with the Maxwell equations (NKGM). In this case the charge reduces to the electric charge. The main result of this paper establishes that stable, charged Q-balls exist provided that the interaction between matter and the gauge ?eld is su?ciently small.

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